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The Ten Tuscan Towns You Need To Visit
Tuscany is a delight whichever way you turn. There really is no wrong way to explore it. But if time's tight, and you want to ensure you tick off a few of its most precious gems, you'll be best heading to one of its charming hill towns.
The fortified towns, so iconic they're the first thing most of us think of when picturing the region, are enigmatic reminders of a time when the welcome wasn't quite so warm around these parts. In the middle ages the region saw a succession of battles fought by warring factions desperate to get their hands on a slice of Tuscan paradise. And, really, who could blame them…
These days, just 30 families live within the walls of Monteriggioni. But what a place to call home. This fortified hilltop village is entirely enclosed by sturdy walls: if you've played Assassin's Creed you'll recognise it – the village was the inspiration for the town of Monteriggioni in Assassin's Creed 2. The town was built during the Middle Ages, as a fortification in the war between Sienna and Florence, and it saw its fair share of battles. The only battles it sees these days are the virtual ones of the computer screen: this is one supremely relaxed place. A restaurant, a bar, an ice cream shop and a gift shop seems to be the height of it. And sometimes, that's all you need.
One of the most beautiful villages in Italy, Barga should be on anyone's must visit lists. It's a busy place, so try getting here early – as part of the fun is simply wandering around its tightly packed lattice of streets with their sudden, delightful views over green fields, chestnut trees and olive groves. Take a walk in the old city center and you'll find historical palaces, churches and museums aplenty. Try Chiesa della Santissima Annunziata, home to prestigious Renaissance art works. Head from here into the luscious Gargagnana Hills, all emerald lakes, rushing rivers and soaring peaks topped with castles.
Lucca, the town of Puccini, is an art lover's idyll. Renaissance style is everywhere – the extraordinary architecture of the city surrounded by the famous XVI century walls simply dazzles. Clamber up and along the battlements for breathtaking view over forests, steeples, villas and churches. Look inside to see the Cathedral and its famous miraculous wooden crucifix: "Holy face". The town's streets meet at the circular Piazza dell'Anfiteartro, a plaza lined with restaurants, bars and shops. It's a truly inspiring place. Maybe you'll feel an opera coming on…
Enjoy that feeling of getting off the beaten track, while not actually travelling too far to do it, at Suvereto – a beautiful 13th century Tuscan town with a little of everything to keep your camera phone busy. Visit the hushed and shadowy Medieval cloister, its handsome Romanesque church, and 12th century castle. Then wander around the narrow streets to find the perfect lunch spot. Love Italian wine? The DOCG Wine Trail passes right through the town! Kids like dolls? There's a doll museum here too.
Known as "Little Jerusalem", this small Tuscan town (main pic above) seems to grow from the rocks themselves. Close to the coast, the commune was once a safe harbor for persecuted Jews. You can learn more about the town's Jewish history in the Jewish Museum of Culture in the old town (crammed with gift stores) and sample some local Jewish delicacies while you're there. Escape the heat, visit the underground tunnels and caves dug into the soft volcanic rock beneath the town, in use since Etruscan times. Piazza Becherini: The perfect place to take a photo of the surrounding valleys.
All the elements are present and correct in Cortona. Hilltop location, suitably venerable and ochre-coloured palazzos, fortresses and churches wrapped in sturdy stone walls. It's got all you need for the perfect day out in a Tuscan town. The city dates back to Etruscan and Roman times, which explains why the recently opened Etruscan Academy Museum of Cortona (MAEC), is such a fabulous storehouse of wonders. It's one of the most important Etruscan collections in the world. The main streets of Cortona offer local handmade items, bars and restaurants while the Santa Margherita Sanctuary offers terrific views. Read "under the Tuscan sun" to get under its skin, because it's where Francis Mayes set her romantic comedy.
The pretty village of Collodi tumbles down the hillsides east of Lucca, and is utterly captivating. The medieval heart of the village dates back to the twelfth century – to the time its defensive castle was built: a strategic strongpoint in the Lucca-Florentine battles. Collodi's famous son, Carlo Lorenzini, took the town's name as his own for his pen name. Carlo Collodi's best known work? Pinocchio. Really young kids will love the Pinocchio fun park here (but it's no Disneyland). Adults will love the gorgeous gardens of Villa Garzoni.
Capalbio is a delight. Close to the coast, the historic village hides a core that remains more or less intact a full millennia after it was built. Once the ramparts for a huge castle, the walls are still intact and the narrow alleyways and cobbled streets lead to piazzas and wonderful restaurants. The town's a popular destination for VIPs and business leaders, so there's a well-to-do air to the proceedings here. Climb the crenellated tower and the medieval walls of the Castle for wonderful coastal views, and pop into the church of St. Nicholas and the Providence Oratory where you can admire a fresco by Pinturicchio.
Tucked into a narrow valley carved out by the river Albegna, Roccalbegna looks every inch the quintessential medieval village – so intact and well preserved is its townscape of houses, churches and squares you'd think you'd stepped onto a costume drama film set. The town is loomed over by a huge outcrop of volcanic rock – like a beast rising from the bowels of the earth. Aside from the rock, with its castle on top (of course), the town's most famous monument is the venerable Church of Santi Pietro e Paolo, in the central piazza, also home to the town hall. This is a magical place, deep in the south of Tuscany.
Once a busy trading post, these days the trade in Buonconvento is unashamedly tourism. The 12th century town welcomes its visitors with an open, really enormous and heavy door, once the main gate into the walled town's heart. Inside it feels like time's stood still: you can see old historic buildings with the flags that represent the four ancient districts of the village. Don't miss the Museo della Val d'Arbia (Val d'Arbia Museum), where works of art by Sano di Pietro and Matteo di Giovanni glisten like new. Other sites of interest in the town include the Museo di Arte Sacra (the Museum of Sacred Art), Palazzo Ricci, the church of San Pietro e Paolo (Saint Peter and Saint Paul) and the Oratorio di San Sebastiano (the Oratory of Saint Sebastian).
We've plenty of parcs close enough to embark on your Tuscan adventure from. Take a look here.
The Ten Tuscan Towns You Need To Visit was last modified: August 29th, 2018 by David
Cool Summer: 20 Italian events not to...
2018: The Hot List
Essential guide to dog friendly travel


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Start your morning right with a hot full breakfast included with your stay (6:00am – 10:00am daily). Stop by the 24-hour onsite convenience shop for a quick snack or a meal to prepare in your room. Plunge into the outdoor pool after an energetic work out in the fitness room or on the outdoor sports court. There is also a driving range within walking distance. Our Augusta, GA hotel offers a meeting room for up to 50 guests and a business center equipped with computers, free printing and other supportive services.


Advertising and sponsorship opportunities are now closed, but plan ahead for AAG 2020 Denver by perusing the below information.
Sponsorship has its rewards! Sign up as a recognition package sponsor and your booth fee is included with your sponsorship. Details of each standard package can be found on the right.
Need something custom? Let us work with you to build the perfect custom package. Contact Oscar Larson (meeting@aag.org).
Market your brand and product directly to Annual Meeting attendees and AAG members in a featured AAG Newsletter article. Features may include photos, testimonials, demo videos, and any other multimedia approved by AAG for publishing. Articles will be included in the AAG Newsletter, distributed to 12,000 members monthly, and posted on the news.aag.org site.
The Annual Meeting Website is the go-to place for all meeting information prior to the conference. Attendees must visit the site to register, find hotel and other meeting information, and to view the conference program. Ads will be placed on six landing pages within the Annual Meeting site. Website graphics may be GIF, PNG, or JPG format at 300dpi, 400x100px. Premium placements are available during peak website traffic months for an additional $100/month, first-come first-serve. The website averages 3,000 visitors per week, with users from the U.S. and abroad. See rates below.
Geograms communicate conference information to current and potential attendees. On average, each Geogram is sent to 32,000 recipients, with 8,000 opens per blast. Geograms are typically sent once a week, with increased frequency as the conference gets closer. Limit two advertisers per blast. Geogram graphics may be GIF, PNG, or JPG format at 300dpi, 400x100px. Premium placements are available for high readership blasts for an additional $50/blast, first-come first-serve. See rates below.
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Choose any combination of available sponsorship and advertising opportunities to market your brand at the Annual Meeting. We offer both material and digital sponsorship options for sponsors to reach their target audience within the AAG membership and conference attendee population.
Banner $2,500 - limited supply, maximum of 6 paid ads.
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Retinova cream contains the active ingredient tretinoin, which is a form of vitamin A. It is used to treat skin that has been damaged by long-term overexposure to the sun (photodamage).
Reducing brown spots, roughness and fine wrinkling of skin damaged by chronic sun exposure.
Photodamage is not the same as normal skin ageing. It is caused by exposure of the skin to the sun's rays over many years, particularly areas such as the face, neck and arms that are exposed most. The sun damage changes the structure of the skin, leading to fine wrinkles, roughness of the skin and the appearance of brown spots on the skin.
It is not fully understood how tretinoin works in treating photodamaged skin. However, it has been shown to increase the production of important proteins in the skin, such as collagen, and to produce other changes in the structure of the skin. It also increases the turnover of the skin cells, which aids the natural exfoliation of the outer layers of skin.
The cream should be applied to the affected areas of skin once daily at night.
It can take three to four months of treatment before you start to notice an improvement in fine wrinkles, brown spots and roughness. It may take six months before definite beneficial effects on the skin can be seen.
Once the maximum benefit in your skin is seen you will need to keep using this medicine to maintain the effects, otherwise they will diminish over time. The cream should be used less frequently, eg one to three times a week, to maintain the benefit.
Clean and dry the affected area of skin thoroughly before applying this medicine. Use mild soap and pat rather than rub the skin dry. Using cotton wool, gauze, or clean fingertips, only apply enough medicine to cover the affected areas of skin lightly.
When you first start using this medicine it may cause temporary stinging or a feeling of warmth in the skin. When used correctly, it will usually make your skin slightly red, like mild sunburn. You shouldn't use the medicine any more frequently than directed by your doctor, as this won't make it any more effective or work any quicker. It may also make your skin very red or irritated or start peeling.
If you get any severe redness, swelling, itching, burning sensations, blistering, crusting or peeling of your skin after using the medicine, you should apply the medicine less frequently or stop using it temporarily. If the irritation persists you should stop using the medicine completely and consult your doctor.
Avoid contact of this medicine with the eyes, eyelids, nostrils, mouth, mucous membranes (eg linings of the nose) and broken areas of skin. If you accidentally get the medicine on these areas, carefully wash it off with water.
You can use cosmetics or moisturisers while using this medicine, but you should not apply them at the same time. Wash your skin thoroughly before applying the medicine. You can use cosmetics and moisturisers after the medicine has been absorbed into your skin.
Avoid exposure to sunlight, sunlamps or sunbeds while using this medicine, as it increases the sensitivity of your skin to UV light. If exposure to sunlight cannot be avoided, for example due to your job, use protective measures such as sunscreens or protective clothing (eg long-sleeved shirts, wide-brimmed hats) over the areas of skin you have treated with this medicine.
If your skin is sunburnt you should not use this medicine until your skin is fully recovered, as it may potentially cause severe irritation to the skin.
Weather extremes such as wind or cold may be irritating to the skin while you are using this medicine.
Personal or family history of a tumour on the surface of the skin (cutaneous epithelioma).
This medicine should not be used during pregnancy as it can be absorbed through the skin and may be harmful to the developing baby. Seek medical advice from your doctor.
It is not known if this medicine passes into breast milk. It should be used with caution by women who are breastfeeding, and only if the potential benefits outweigh any potential risk to the nursing infant. Seek medical advice from your doctor.
Check with your pharmacist or doctor before using other medicines (including those bought without a prescription) on your skin while you are using this one.
preparations containing sulphur, resorcinol, benzoyl peroxide, azelaic acid or salicylic acid.
After using products that cause skin peeling, such as benzoyl peroxide, sulphur, azelaic acid or salicylic acid, you should let the skin rest until the effects of the peeling agent subside, before you start using Retinova.
Ask your pharmacist for further advice.
There are no other medicines available in the UK that contain tretinoin for treating sun damaged skin.


The Division of Rheumatology, Allergy and Immunology at the UNC School of Medicine is recruiting for a Clinical Assistant or Clinical Associate Professor in Allergy and Immunology. Duties include, but are not limited to, ambulatory patient care, inpatient consulting, mentoring and training of fellows, residents and medical students.
Board certified/eligible in Allergy and Immunology. Clinical research experience is preferred.


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Lot 24 | Auction XIX
SEAH KIM JOO
B. Singapore, 1939
Chinatown Singapore, 1970s
Signed "Seah Kim Joo" on lower right
Provenance Private Collection, Kuala Lumpur
RM 7,500 – RM 11,000
Known as one of the first few advocates of traditional batik-painting, Seah Kim Joo chooses a certain street in Singapore as his muse. Highly abstract and vague, the painting leads the viewer to dissect and distinguish between figures and the stalls and the streets. The mood is nostalgic, which makes one feel like they are revisiting memory lane by viewing it – especially those who have experienced Chinatown during its earlier days.
Born in Singapore in the year 1939, Seah Kim Joo was raised in Terengganu, during which he was exposed to the process of traditional batik-making. He studied at the Nanyang Academy of Fine Arts in 1959 before returning to Malaysia to enhance his batik skills through his travels around the east coast. After having won the First Prize at the Malayan Federation Open Art Competition two years in a row, he has then been recognised for his use of dye-and-resist technique in batik. His murals
have adorned the Singapore Pavilion, and one of his paintings was selected for Singapore's commemorative stamp series.

redpajama_set_name: RedPajamaCommonCrawl


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Home»Medical Services»Surgery»Dr. Michael Moscowitz, General Surgeon
First there was Star Trek: The Next Generation. Now there's Dr. Moscowitz: The Next Generation.
The next generation is Dr. Michael Moscowitz, a general surgeon newly practicing at HealthAlliance Hospital: Broadway Campus. He's the son of longtime Kingston orthopedic surgeon Dr. Richard Moscowitz.
"It's good to be back," says the younger Dr. Moscowitz, 31, who went to Kingston High School and studied medicine and surgery at Chicago Medical School. He did his general surgery residency at New Jersey's Morristown Medical Center.
"I wanted to return to Kingston," he says. "It's where my family is."
His wife of six years, Kara, also 31, is from Saugerties. She's a registered nurse by profession, working fulltime as the mother of Ella, 5, and Liam, 3. The family also has Daisy, an 11-year-old beagle sheltie mix that Michael and Kara rescued in Chicago seven years ago.
"The ability to work in Kingston, a community where we can have our kids' grandparents come over and enjoy their grandchildren, is an immeasurable benefit," Dr. Moscowitz says. "Our kids are growing up with a full family."
As a board-certified general surgeon at HealthAlliance, Dr. Moscowitz focuses on the abdomen and its contents, including the stomach, small bowel, colon, liver, pancreas, gallbladder and bile ducts. He also deals with diseases involving the skin, breast and soft tissue, as well as trauma, emergency surgery, peripheral vascular surgery and hernias.
"Hernia surgery is my favorite," Dr. Moscowitz says. "I love the anatomy, and all surgery reminds me of how remarkable the body is. But this surgery is like textbook anatomy. Even with the toughest hernia, as long as you know the anatomy, you'll always be able to do the surgery well."
He also says he's taking advantage of HealthAlliance's leading-edge technologies to perform advanced minimally invasive surgery.
"In general, it's safer than open surgery and allows you to recover faster and heal with less pain and scarring," Dr. Moscowitz says. Minimally invasive surgery is usually done on an outpatient basis or requires only a short hospital stay."
"Continual innovations in minimally invasive surgery make it useful for an ever-expanding list of procedures," he says.
As for HealthAlliance's planned expansion of the Mary's Avenue Campus into one of the Northeast's most advanced community hospitals and its conversion of the Broadway Campus into a pioneering "medical village," Dr. Moscowitz says, "I think I'm here at the ground floor of something really great!"
The new HealthAlliance Hospital will be a regional hospital of choice, providing an optimal environment for the highest-quality care. It will be recognized for its high patient satisfaction, awarded for its exceptional clinical outcomes, and privileged to have the finest physicians and employees.
The medical village will be an innovative focal point for the city's health and related needs. Current partners will offer primary care, behavioral health and other support services. Compatible retail shops will provide additional amenities.
The village will also have a medical simulation center for state-of-the-art medical training for current and future healthcare professionals, providing cutting-edge technology to improve healthcare training and delivery.
"How can someone not be excited about that?" Dr. Moscowitz says. "Add to that the quality of life here, with the river and mountains. Plus, Kingston has a growing creative sector and arts scene, happening restaurants, chic boutiques. This is becoming a very popular area, and I'm thrilled it will be supported by a very strong medical system."
"I see myself staying here for the rest of my life," he says.
1561 Ulster Avenue, 2nd Floor
Lake Katrine, NY 12449


Women have diverse attitudes and behaviours towards alcohol consumption during pregnancy. Contradictory views about the risks associated with alcohol intake influence consumption levels. Many women do not receive detailed advice from healthcare professionals. The woman's assessment of risk is hindered by the contradictory advice from government guidelines, health organisations and the media. Health professionals play a vital role in advising women on health behaviours pre-conception and throughout the antenatal and postnatal period to improve outcomes. Midwives ensure and enable women to make informed choices regarding alcohol consumption during pregnancy. As healthcare professionals we should be providing evidence based, up to date information regarding the potential risks and harms associated with alcohol consumption during pregnancy for the unborn. So why is this not happening?
'Blood tests for investigating maternal wellbeing' is the 10th series of 'Midwifery basics' targeted at both students and practicing midwives who wish to update. The series aims to raise awareness of the needs of women during their childbearing experience. The reader is encouraged, through directed activities, to seek further information.
'Blood tests for investigating maternal wellbeing' is the 10th series of 'Midwifery basics' and is targeted at both students and practising midwives who wish to update their knowledge. The series aims to raise awareness of the needs of women during their childbearing experience. The reader is encouraged, through directed exercises, to seek further information. This article explores the issues surrounding blood testing for the presence of sexually transmitted infections (STIs) during pregnancy. The aim is to provide an overview of the blood tests required and also of some of the wider issues around STIs in pregnancy. It considers aspects of physiology, pathology, the impact on the fetus and neonate of these infections and provides information about the blood tests themselves. It also considers the current NICE guidelines in relation to testing for STIs in pregnancy, as well as other relevant sources of evidence in relation to the management of these conditions. The article also considers the midwife's role in relation to providing information to women and for supporting them in their decision-making for testing for STIs.
Pre-eclampsia complicates between 2 per cent and 8 per cent of pregnancies, and safe care for mother and baby depends on early recognition of signs and symptoms, as well as timely investigation and referral. An understanding of the pathophysiology of pre-eclampsia is essential for the midwife as she is the practitioner most likely to recognise the disease as it presents. This article provides an overview of the pathophysiology of pre-eclampsia, a summary of risk factors and an overview of laboratory tests that may be requested by the midwife. The article focuses on communication between the midwife and woman with an emphasis on holistic care.
In 2011 a national children's charity led a campaign that identified why help with postnatal depression (PND) needed to improve; however PND remains a huge problem. Numerous cases are still coming to light where a mother has not sought help nor has been given adequate support, with disastrous consequences. Why is this still happening and what can health professionals do? Former practising midwife and specialist PND counsellor at a charity supporting women and families suffering from PND, Joanne Morton discusses why increasing awareness, education and understanding of perinatal illness are vital to limit the devastating effects of antenatal depression (AND) and PND and how standards of care must improve to help mothers in need.


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The European discovery of the New World loosed a torrent of wondering description of its natural riches. Early explorers eagerly mapped, sketched, collected animal and plant specimens and followed every river to its source - or to the sea.
Henry David Thoreau can fairly be said to be the progenitor of American nature writing. Walden, his masterpiece of contemplative observation of nature and himself, is a classic of American literature.
The last half of the nineteenth century brought the culmination of the great expeditions of exploration into the unmapped West. Many intrepid travelers returned from the Rocky Mountains, California and the West coast, and the great American deserts with interesting descriptions of the flora and fauna they observed.
Since 1900 American nature writing has flourished, encompassing natural history, travel narratives, nature essays, "rambles," wilderness adventuring, sea voyaging, poetry, fiction, calls to environmental action and many more sub-genres.
Nature Writing Anthologies: Start Here!
Anthologies may be the best way to get an introduction to nature writing – you're benefitting from the editors' selection of material they judge to be the finest writing on the particular theme represented by the anthology or collection you're reading.
Ecocriticism is the study of the relationship between literature and the natural environment. The publication of two seminal works in 1996 formally launched the field of ecocriticism – The Ecocriticism Reader, edited by Glotfelty and Fromm; and The Environmental Imagination, by Buell.
How do you put into words what you experience in nature – what you learn from nature?


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Q: MySQL SELECT on 2 SELECT result is possible or not I have 2 tables
1-Table Price with 3 columns:

*

*part_id (there is repeat)

*effective_date (same part_id have different effective_date)

*part_price

2-Table Usage with 3 Columns:

*

*part_id (no repeat)

*usage_p1

*usage_p2

I want to get the newest price for parts on p1( p2 same logic);
I have tried to use SELECT to fill out the latest effective_date price and the usage_p1 by:
SELECT part_id, MAX(Effective_date) AS Latest_date
    FROM Price
    GROUP BY part_id

SELECT Usage_id FROM Usage WHERE Usage_p1>=1

but how can i proceed with these 2 selected result, or it is just impossible to proceed?
If I have to separate the Usage Table into 2 much simple tables P1 and P2. Table P1 only have 2 columns: part_id and usage_p1.
SELECT  price.part_id, MAX(Effective_date) AS Latest_date, price.part_price,
        P1.usage_pi, usage_P1*part_price AS value_p1
    FROM  Price
    INNER JOIN  P1  ON Price.part_id=P1.part_id
    GROUP BY  P1.part_id

Is this way optimal or kind of wast space?
enter image description here

A: If I understood correctly, you needed to create a query that gets the max values of
the two tables and have them related together:
SELECT
  T1.Latest_date, T2.Latest_p1, T2.Latest_p2
FROM(
  SELECT MAX(p.Effective_date) AS Latest_date
  FROM Price p
  GROUP BY p.part_id
) AS T1
INNER JOIN(
  SELECT MAX(u.usage_p1) AS Latest_p1, MAX(u.usage_p1) AS Latest_p2
  FROM Usage u
  GROUP BY u.part_id
) AS T2
ON T1.part_id = T2.part_id

This query gets the max values of the two tables by the "part_id".
A tip I can give you is that you can add a letter after your table like a variable, I use this practice in my work, and it helps a lot. Anyway.
I hope this help you out.

A: This seems very straight forward so perhaps I haven't understood. First get the latest date by product id , here I do so in a cte, then get the relevant price and usage
DROP table if exists price,`usage`;

create table price(pid int,price int, effective_date date);
create table `usage`(pid int,p1 int,p2 int);

insert into price values
(1,10,'2021-01-01'),
(2,10,'2021-01-01'),
(1,20,'2021-02-01'),
(3,20,'2021-02-01'),
(3,10,'2021-01-01');

insert into `usage` values
(1,1,2),(3,0,10),(2,10,0);

with cte as
(select pid,max(effective_date) effective_date from price group by pid)
select cte.pid,p.price,cte.effective_date,p1,p1*price,p2,p2*price
from cte
join price p on p.pid = cte.pid and p.effective_date = cte.effective_date
join `usage` u on u.pid = cte.pid;

+------+-------+----------------+------+----------+------+----------+
| pid  | price | effective_date | p1   | p1*price | p2   | p2*price |
+------+-------+----------------+------+----------+------+----------+
|    2 |    10 | 2021-01-01     |   10 |      100 |    0 |        0 |
|    1 |    20 | 2021-02-01     |    1 |       20 |    2 |       40 |
|    3 |    20 | 2021-02-01     |    0 |        0 |   10 |      200 |
+------+-------+----------------+------+----------+------+----------+
3 rows in set (0.001 sec)

BTW usage is a reserved word and needs to be backticked.
NB it's better to include sample data and expected output as text in the question since we can use text and cannot use images. Also try to avoid speculative digression in the question it just confuses things.

redpajama_set_name: RedPajamaStackExchange


Micromax Canvas Fantabulet Android Tablet comes with Android OS, v5.1, MediaTek MT6735,1.3 GHz Quad-core Processor, IPS LCD capacitive touchscreen, 6.98 inches,1280 x 720 pixels, 16M colors, 16GB, 1GB RAM, microSD, up to 64 GB, 8 Mega pixel, Geo-tagging, touch focus, face detection with LED Flash Back and 2MP front Camera, Canvas Fantabulet is EDGE, GPRS, GPS, Bluetooth, Wi Fi and 3G tablet by Micromax.
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text:
March 11, 2016 by onbroadwaynyc
OnBroadway.com Offering Discount on Tickets for Previews of The Crucible
OnBroadway.com has tickets available for previews of The Crucible at the Walter Kerr Theatre. Save with discount code "onbroadway20" at checkout.
OnBroadway.com is currently offering tickets for productions of the Arthur Miller play The Crucible, which is currently in previews at the Walter Kerr Theatre on Broadway. The show will officially open on April 7 and will be performed in a strict 20-week engagement that is scheduled to run through July 17.
The play tells the story of the Puritan town of Salem, Massachusetts, the site of the historic witch trials that turned neighbor against neighbor in the 1690s. Townspeople accused each other of witchcraft and in some cases tried to have their enemies condemned for unrelated reasons. The story was a parable for the McCarthy hearings that were being conducted at the time the play was written in the 1950s.
The production of The Crucible features an original score by composer Philip Glass. The cast currently includes Ben Whishaw as John Proctor, Tony Award winner Sophie Okonedo as Elizabeth Proctor, Saoirse Ronan as Abigail Williams, Tina Benko as Ann Putnam and Sarah Goode, and Teagle Bougere as Judge Hawthorne. The play is directed by Ivo van Hove.
OnBroadway.com sells tickets for many plays and musicals on and off-Broadway, including performances of The Crucible at The Walter Kerr Theatre in New York. OnBroadway.com has tickets for both matinees and evening performances of this play, which has been widely performed and is a part of the standard curriculum in many schools across the United States.
The Crucible Performances at the Walter Kerr Theatre in New York, NY
Sat March 12 @ 2:00 PM and 8:00 PM
Tue March 15 @ 8:00 PM
Wed March 16 @ 2:00 PM and 8:00 PM
Thu March 17 @ 8:00 PM
Fri March 18 @ 8:00 PM
Sun March 20 @ 3:00 PM
Fri March 1 @ 8:00 PM
Sat April 2 @ 2:00 PM and 8:00 PM
Sun April 3 @ 3:00 PM
Tue April 5 @ 8:00 PM
Wed April 6 @ 2:00 PM and 8:00 PM
Order tickets by phone by calling (844)425-4543, or order online at http://onbroadway.com/The-Crucible and save by using the discount code "onbroadway20."
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I think this handicap might be a little bit generous. These two have played a lot of games and Clement was the better player. That was a long time ago, but Gasquet has never improved to his full potential and he still has a lot of weak moments during his matches. Clement has played a match here already, so he knows how the surface plays and he has some match practice as well. Gasquet is not looking great at the moment and while he is the better player on paper, I think that Clement might be able to win this or at least cover this handicap. Smaller stakes are recommended due to the facts mentioned, but three games is a lot for such a good player as Clement. He was really solid in his last match and gave nothing away basically. Clement is too good to go down easily in my opinion and this surface is fast enough to allow him to get some easy points. He can go to the net quite often and his experience from doubles helps him tremendously whenever he has to play a volley or a smash. The odds are pretty nice too.


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Tag Archives: Long Island
Performing at Carol M. Baldwin Breast Cancer Fund's 1st Annual Pink Penguin Bash
As everyone knows, I feel a strong sense of pride and commitment when it comes to supporting important causes and events on Long Island. When I got a request to perform at the Carol M. Baldwin Breast Cancer Research Fund's 1st annual Pink Penguin Bash, I said "yes" right away! I was so honored to be invited and asked to perform by the Baldwin family, and for a cause that is very close to my heart. One of my favorite aunt's lost her battle with breast cancer last November.
For those who aren't familiar with Carol Baldwin, she is the mother of actors Alec, Billy, Stephen and Daniel Baldwin, and she is a breast cancer survivor and breast cancer awareness advocate. The family originates from Massapequa, NY, and all four Baldwin brothers established the Carol M. Baldwin Breast Cancer Research Fund in their mother's name.
The Pink Penguin Bash took place on July 30th at the Long Island Atlantis Marine World Aquarium and Exhibition Center in Riverhead, NY and was emceed by WBAB 102.3 FM on air personality, Fingers. I performed a five song set along with JD Leonard who is a super talented guitarist. JD and I performed 3 songs from my EP, Me Time, including: "I Don't Feel Anything," "Wouldn't Like to Know?", and the title track, "Me Time." We also performed two songs from my upcoming LP, Sunrise Highway: the songs "Somebody's Baby" and the title track, "Sunrise Highway."
The other great performers at the event were legendary rock n' roll singer, Lita Ford; American Idol season 10 finalist, Robbie Rosen, who is so talented and such a sweet kid; and Randy Jackson from the group, Zebra, who performed an amazing rendition of "Stairway to Heaven." Robbie Rosen sang first, followed by Randy Jackson of Zebra who invited Lita Ford up on stage with him. Lita Ford then did her set, and I went on as the final act. My guitarist, JD Leonard, picked up the harmonies for my songs beautifully, and the crowd was very receptive to us.
During the event I had the opportunity to speak with Billy Baldwin, Stephen Baldwin, and their mom, Carol Baldwin. The Baldwin family was so kind and the work they are doing for breast cancer research is remarkable. I was informed that since its inception, the Carol M. Baldwin Breast Cancer Research Fund has given out $6 million in grant funding with a large portion of that grant funding having gone to breast cancer research at Upstate Medical University. In addition, the Carol M. Baldwin Fund awards multiple $50,000 grants each year to breast cancer research at the State University of New York (SUNY) Upstate Medical University and University Hospital in Syracuse.
For the event, the Atlantis Aquarium was transformed into a catering hall. Many of the aquatic exhibits were table-side. They did a beautiful job decorating with pink and purple lights and penguins were dressed in pink bowties. There was also an organization at the event that was there with exotic looking rescue birds that you could stop and take pictures with.
I posed for pictures and signed plenty of autographs throughout the night, and there was a fun casino area and a Chinese auction. All in all, a very rewarding night!
Before we left, Atlantis Marine World's curator and co-founder, Joseph Yaiullo, told me that he enjoyed my performance and he offered me a private VIP tour with my family for a private session with the penguins and seals, which sounds wonderful. Can't wait to take him up on his offer!!
Posted in Uncategorized | Tagged Alec Baldwin, American Idol Robbie Rosen, American Idol season ten Robbie Rosen, Atlantis Marine World's curator and co-founder, Billy Baldwin, breast cancer research, Carol M. Baldwin Breast Cancer Fund, Carol M. Baldwin Breast Cancer Fund's 1st Annual Pink Penguin Bash, country music, country singer Lisa Matassa, Daniel Baldwin, guitarist JD Leonard, JD Leonard, Joseph Yaiullo, Lisa Matassa, Lisa Matassa Me Time, Lisa Matassa Sunrise Highway, Lita Ford, Long Island, Long Island Atlantis Marine World Aquarium and Exhibition Center in Riverhead, Long Island Country, Me Time EP, NY, Randy Jackson Zebra, Robbie Rosen, Stairway to Heaven, Stephen Baldwin, Sunrise Highway, Sunrise Highway LP, University Hospital in Syracuse, Upstate Medical University, WBAB 102.3 FM
Radio Promotion & A Photo Shoot for My New Album, "Sunrise Highway"
Lisa Matassa, Sunrise Highway
This month has been jam packed with radio interviews, promotional appearances and photo shoots.
On July 13th we headed out to Fire Island, New York to shoot pictures for the album art for my upcoming LP, Sunrise Highway. The title track, "Sunrise Highway" is about those young care-free days, growing up on New York's Long Island, cruising down Sunrise Highway in a Camaro, feeling free and dreaming big! We wanted the pictures to reflect that image and we captured it.
My team was able to secure a 1969 Chevy Camaro for the photo shoot, and we chose great locations by some open road, on the boardwalk, and next to Fire Island's lighthouse. As sun gave way to clouds the sky took on a purple and blue-gray haze which ended up looking amazing in the shots as I posed in front of the car. What a great affect! It's like those clouds rolled in just for us, and then the sun showed its face again.
On July 14th I did a live interview on the "Phathead in the Morning" radio show down at WJVC My Country 96.1 FM. This was a special interview, where WJVC played the world radio premiere of my new single, "Sunrise Highway."
After performing a preview of "Sunrise Highway" on July 3rd at Long Island's Freedom Fest, JVC radio personality, Phathead, made me promise to premiere "Sunrise Highway" on JVC's My Country 96.1 FM. They have been a great supporter of my country music recording career, and of course, I obliged. On July 14th, a little after 8:30 AM, WJVC My Country 96.1 FM played the world premiere of "Sunrise Highway!"
During an on-air interview with Phathead, we talked about my upcoming West Coast radio tour, my July 3rd performance at Freedom Fest 2011, and plans to shoot a new music video in Nashville for the title track of my EP, Me Time. We also discussed the meaning behind my new song, "Sunrise Highway," which pays homage to my hometown of Long Island, NY and following those dreams that are in the distance, down that highway of life. The lyrics to the song begin, "Seventeen with a black Camaro and Bon Jovi on the radio…" It's about keeping your eyes focused straight ahead, and turning the dreams of your adolescence into your reality. It's how I try to live my life. For those who don't know, Sunrise Highway is a main thoroughfare that runs across the south shore of Long Island.
Before leaving the radio station I was asked to sign some country guitars to be displayed in the WJVC studio. For the remainder of the month of July, my new single, "Sunrise Highway" is available to download for FREE at JVC My Country 96.1 FM's website, LICountry.com . After this month, you can purchase the song Sunrise Highway at iTunes or through my website.
Don't forget to call in to WJVC My Country 96.1 FM and request my new single, "Sunrise Highway!" 🙂
Posted in Uncategorized | Tagged Bon Jovi, Chevy Camaro, Country EP, country music, EP Me Time, Lisa Matassa, Lisa Matassa country recording artist, Lisa Matassa Me Time, Lisa Matassa Me Time music video shoot in Nashville, Lisa Matassa Sunrise Highway LP, Lisa Matassa Sunrise Highway premiere on JVC My Country 96.1 FM, Long Island, Long Island Country, Long Island radio, Me Time album, My Country 96.1 FM, Sunrise Highway, Sunrise Highway album Lisa Matassa, WJVC, WJVC My Country 96.1, WJVC My Country FM, WJVC Radio
On the Red Carpet at the SOHO International Film Festival in NYC
On the red carpet at the SOHO International Film Festival
I just attended the premiere of the independent film, Jesse, at the 2011 SOHO International Film Festival in New York. Jesse was shot in Bellmore, Long Island and is about a Nassau County, Long Island female police officer who becomes a vigilantly for justice after her own brother is murdered. The film stars some amazing and celebrated actors: William Forsythe, Eric Roberts and Armand Assante. A very talented actress named Stephanie Finochio plays the lead character of Jesse.
Jesse was written, produced and directed by Long Island born filmmaker, Fred Carpenter. Fred called and invited me to attend the film's premiere and to walk the red carpet with the cast and crew; very exciting! Fred introduced me to everyone and all of the actors were so kind and friendly. I was actually told that the film's lead actress, Stephanie Finochio, is a professional wrestler and stuntwoman and her role in Jesse was her first acting role – she did a great job! During the screening I sat next to former News 12 Long Island reporter and current CNN reporter and meteorologist, Bonnie Schneider (a Jericho, Long Island girl). The film premiere of Jesse was a celebration of all things Long Island which was pretty cool .
The SOHO International Film Festival premiere was exclusively for the cast, crew and media, and the Long Island premiere for the public will take place July 8th at the Long Island International Film Expo.
Posted in Uncategorized | Tagged Armand Assante, Bellmore, Bonnie Schneider, CNN, CNN meteorologist, Eric Roberts, Fred Carpenter, Jesse, Lisa Matassa, Long Island, Long Island International Film Expo, News 12 Long Island, red carpet, SOHO International Film Festival, Stephanie Finochio, William Forsythe
Attending a Benefit to Raise Money and Awareness for ALS (Lou Gehrig's Disease)
Last night I attended the 4th annual Sound Success For ALS benefit show on Long Island. There were lots of great performances throughout the evening. Folk music legend Maura Kennedy performed a set which was then followed up by The Roast Beef Curtains, who switched it up with their hybrid of reggae and rock music. The 3rd act was Nelson Klondike who played some classic rock for the crowd. The lead vocalist for Klondike is Lex Marchesi who was lead vocalist for the 1970s group, Fotomaker. This newly assembled group actually made their live debut at Sound Success For ALS, which was pretty cool, and I know the feeling!
Finally, I made my way to the stage to share some encouraging words in the fight to find effective treatments and (hopefully) a cure for ALS – also known as Lou Gehrig's Disease. Having lost a family member to ALS, I am personally aware of the devastating effects of this debilitating disease. For this reason, ALS fundraisers are so incredibly important!
We gifted everyone at the ALS benefit with copies of my new EP Me Time and I stayed to chat with all of the guests, autographing everyone's Me Time CD and posing for pictures.
There were some other appearances made by Ms. Senior America, Gayle King and TV host and creator of the show Livin It Up, Donna Drake. The Cryers, a classic rock band out of New Jersey, performed their set towards the end of the evening to wind everyone down, and Shannon and her all-star band closed the show. From what I heard, Shannon is famous as the world's greatest Beatles artist. She is also an accomplished musician with over 1,000 songs written. Her all-star band included drummer Steve Holley from the band Wings; drummer Jon Ehle from Stories; Pete Santora from Beatlemania; and guitarists Bobby Lame, Lou Pucci and Jimmy Mack. The evening also included Grammy winning recording engineer, Dennis Ferrante.
All in all it was a great time and the event proceeds were donated to SUNY Stony Brook University's Christopher Pendergast ALS Center of Excellence. I want to thank Mick Du Russel (The Showbiz Wizard 🙂 ), editor of SpotOnLI.com, for inviting me to this event. Keep up the great work Mick! xo
Posted in Uncategorized | Tagged ALS, ALS benefit, ALS fundraiser, Beatlemania, Bobby Lame, Christopher Pendergast ALS Center of Excellence, classic rock music, folk singer Maura Kennedy, Fotomaker, Grammy winning recording engineer Dennis Ferrante, Jimmy Mack, Jon Ehle, Klondike, Lex Marchesi, Lisa Matassa, Lisa Matassa Me Time, Livin It Up, Long Island, Lou Gehrig's Disease, Lou Pucci, Maura Kennedy, Me Time EP, Mick Du Russel, Ms. Senior America Gayle King, Show Biz Wizard, Sound Success For ALS, SpotOnLi.com, Steve Holley, Stony Brook University, Stories, SUNY Stonybrook, The Cryers, The Roast Beef Curtains, Wings
Long Island Country Singer Lisa Matassa on Newsday.com
Video journalist TC McCarthy from Newsday came down to Cove City Sound Studios, on Long Island today to interview me for a Newsday.com feature segment. TC shot an incredible piece with me and my producer Bobby "Guy" Graziose doing some recording and re-mixing for my song "Kiss Me Quiet," which will be on my new EP, Me Time. During the Newsday interview I was asked about creating my own sub-genre of music called Long Island Country. After playing back some tracks in the studio for the Newsday reporter I think I made him a country fan!! Long Island Country music is poised to take over the New York music scene :)!
Thanks TC for the great Newsday interview and video segment!
http://www.youtube.com/watch?v=hhoXPHM1Y94&feature=share&list=UUV28ZLWseWvI5LJaxn4bJlw
Posted in Uncategorized | Tagged country music, Lisa Matassa, Long Island, Long Island Country, Me Time, Me Time EP, Newsday, TC McCarthy
Italy Vacation
Video Shoot – Somebody's Baby
© 2012 Lisa Matassa, All Rights Reserved


Cryptocurrency is a virtual or digital asset used as the medium of exchange which uses cryptography to secure financial transactions, to verify the transfer of assets and to control the creation of additional units. The strong cryptography that is used in cryptocurrency makes it hard for anyone to counterfeit it. Others take cryptocurrency as a digital, virtual or alternative currency which is used in different online activities like trading. Furthermore, it uses a decentralized control in as much as it is widely known for its organic nature which means that it is not controlled by any central authority like the government. This feature makes cryptocurrency different from the currencies in different parts of the world.
Mining refers to the process of solving mathematical problems by miners. The miners' bundle transactions together. After which, they will solve the mathematical problem. At times, these mathematical problems are quite difficult, thus powerful or supercomputers are needed. Miners earn new coins or free transaction fees from solving these mathematical puzzles.
Furthermore, it is the miners' responsibility to ensure that transactions made are valid by seeing into it that there are enough coins in a person's account who is trying to make a transaction. Anyone can view the blockchain which means that anyone can view any transaction too. A trader can have as many wallets as he wants.
Cryptocurrency Mining or simply crypto mining is the process by which new coins are added to the block by solving complex mathematical problems. People who solve these problems are called miners. These miners are rewarded for every successful problem solved. For every cryptocurrency transaction made, it is the responsibility of the miner to ensure that the information is authentic. He is also responsible in updating the blockchain with the transaction that has been made. In other words, cryptocurrency mining is the process in which new cryptocurrency is made.
In order to successfully complete cryptocurrency mining, there must first be a great number of resources in the computer and a special program. This special program is needed as it allows the miner to compete with other miners in solving the complex mathematical problem. A unique code identifies the data and the computers used by miners are set to zero which lessens the value of the target. The reward is given to the first miner who solves the problem.
Generally, mining will give you money, but it won't make you rich. Cryptominers should keep in mind that the rising value and popularity of cryptocurrencies has also increased the competition between everyone involved with it. A miner should at least be a wide reader and a constant learner due to the fact that changes are constant and new techniques are introduced every now and then to make mining easier and faster.


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\section{Introduction and a counter example}

A (unital) extension of $C^\ast$-algebras $0 \to \mathfrak B \to \mathfrak E \to \mathfrak A \to 0$ is called \emph{(unitally) weakly nuclear} if there is a (unital) completely positive splitting $\sigma \colon \mathfrak A \to \mathfrak E$ which is weakly nuclear,
i.e.~for every $b\in \mathfrak B$ the map $b\sigma(-)b^\ast \colon \mathfrak A \to \mathfrak B$ is nuclear. Such an extension is called trivial if we may take the weakly nuclear splitting to be a $\ast$-homomorphism.
An extension is called (unitally) nuclearly absorbing if it absorbs every trivial, (unitally) weakly nuclear extension, i.e.~the Cuntz sum of our given extension $\mathfrak e$ with any trivial, (unitally) weakly nuclear extension is strongly unitarily equivalent
to $\mathfrak e$. A remarkable result of Elliott and Kucerovsky \cite{ElliottKucerovsky-extensions} shows that a unital, separable extension with a stable ideal is unitally nuclearly absorbing if and only if the extension is \emph{purely large}.
Recall, that an extension
$0 \to \mathfrak B \to \mathfrak E \to \mathfrak A \to 0$ of $C^\ast$-algebras with $\mathfrak B$ stable is called purely large if for any $x\in \mathfrak E \setminus \mathfrak B$,
the hereditary $C^\ast$-subalgebra $\overline{x\mathfrak B x^\ast}$ of $\mathfrak B$ contains a stable, $\sigma$-unital $C^\ast$-subalgebra $\mathfrak D$ which is full in $\mathfrak B$. Note that we have added the requirement that $\mathfrak D$ be $\sigma$-unital,
since this was implicitly used in \cite[Lemma 7]{ElliottKucerovsky-extensions} and since this is automatic in the separable case, which is our main concern.

In their paper, Elliott and Kucerovsky use the unital version above to obtain a non-unital version of this result, i.e.~that a non-unital extension is nuclearly absorbing if and only if it is purely large. Unfortunately this is not true.
We will provide a counter example below.

A stable $C^\ast$-algebra is said to have the \emph{corona factorisation property} if all norm-full multiplier projections are Murray--von Neumann equivalent, or equivalently, all norm-full multiplier projections are properly infinite.
As is shown in \cite{KucerovskyNg-corona}, any full extension by a $\sigma$-unital, stable $C^\ast$-algebra with the corona factorisation property, is purely large in the sense of \cite{ElliottKucerovsky-extensions}. Here full means that the Busby map is full,
i.e.~that it maps non-zero elements to full elements in the corona algebra.

$C^\ast$-algebras which do not have the corona factorisation property have rather exotic properties, see e.g.~\cite{KucerovskyNg-Sregularity}.
It follows by \cite[Corollary 1]{Robert-nucdim} that any $\sigma$-unital, stable $C^\ast$-algebra with finite nuclear dimension, or, more generally, nuclear dimension less than $\omega$,
has the corona factorisation property. Thus for classification purposes, the corona factorisation property is not really any restriction.

After receiving an early version of this note, Efren Ruiz constructed a counter example to \cite[Theorem 4.9]{EilersRestorffRuiz-K-theoryfullext}.
In fact, by using results from this note, Ruiz has constructed two graphs such that the induced $C^\ast$-algebras have exactly one non-trivial ideal, have isomorphic six-term exact sequences in $K$-theory with order and scale,
but for which the $C^\ast$-algebras are non-isomorphic.
This implies that we do not have a complete classification of graph $C^\ast$-algebras with exactly one non-trivial ideal using the above $K$-theoretic invariant, as opposed to what was previously believed.
The counter example is provided in Section 4.
Fortunately, all recent classification results of \emph{stable} graph $C^\ast$-algebras are unaffected by the issues addressed in this note, and hence stand as given.

As for general notation in this note we let $\pi$ denote the quotient map from the multiplier algebra of some $C^\ast$-algebra to its corona algebra, and we consider an essential extension algebra as a $C^\ast$-subalgebra of the multiplier algebra of the ideal.

A counter example of \cite[Corollary 16]{ElliottKucerovsky-extensions} could be as follows.

\begin{example}\label{e:counterexm}
 Let $\mathfrak A = \mathbb C$, $\mathfrak B = \mathbb K \oplus \mathbb K$, and consider the trivial extension $\mathfrak E$ with splitting $\sigma (1) = P \oplus 1 \in \multialg{\mathbb K} \oplus \multialg{\mathbb K} \cong \multialg{\mathfrak B}$,
 where $P$ is a full projection in $\multialg{\mathbb K}$ such that $1-P$ is also full.
 The extension $\mathfrak E$ is clearly full, and since $\mathfrak B$ has the corona factorisation property, this implies that $\mathfrak E$ is a non-unital, purely large extension.
 However, it does not absorb the zero extension, i.e.~the extension with the zero Busby map.
 This is easily seen by projecting to the second coordinate in the corona algebra $\pi_2 \colon \corona{\mathfrak B} \cong \corona{\mathbb K}\oplus \corona{\mathbb K} \to \corona{\mathbb K}$, since $\pi_2(\tau(1)) = 1$ and $\pi_2((\tau \oplus 0)(1))$ is a non-trivial projection, where $\tau$ denotes the Busby map.
\end{example}

The flaw in the original proof is the claim that a non-unital extension $\mathfrak E$ is purely large if and only if its unitisation $\mathfrak E^\dagger$ is purely large. The sufficiency is trivial but the necessity is incorrect.

\begin{lemma}
 There exists a non-unital purely large extension such that the unitisation is not purely large.
\end{lemma}
\begin{proof}
 Let $0 \to \mathfrak B \to \mathfrak E \to \mathfrak A \to 0$ denote the extension of Example \ref{e:counterexm}. The unitisation $\mathfrak E^\dagger$ has Busby map
 $ \tau^\dagger \colon \mathbb C \oplus \mathbb C \to \corona{\mathbb K}\oplus \corona{\mathbb K}$ given by $ \tau^\dagger(1\oplus 0) = \pi(P) \oplus 1$ and $\tau^\dagger(0 \oplus 1) = \pi(1-P) \oplus 0$. Since $\pi(1-P) \oplus 0$ is not full in
 $\corona{\mathbb K} \oplus \corona{\mathbb K}$, $\tau^\dagger$ is not a full homomorphism and thus the extension can not be purely large.
\end{proof}

\section{Fixing the theorem}

We will start by showing that the original theorem still holds, if we assume that the quotient is non-unital.

\begin{theorem}\label{t:nonunitalquot}
 Let $0 \to \mathfrak B \to \mathfrak E \to \mathfrak A \to 0$ be an extension of separable $C^\ast$-algebras with $\mathfrak B$ stable. Suppose that $\mathfrak A$ is non-unital. Then the extension is nuclearly absorbing if and only if it is purely
 large.
\end{theorem}
\begin{proof}
 As in \cite[Section 16]{ElliottKucerovsky-extensions} the extension is nuclearly absorbing if and only if the unitised extension is unitally nuclearly absorbing which in turn is equivalent to the unitised extension being purely large. Thus it suffices to show that this is equivalent
 to the non-unitised extension being purely large. We use the same proof as in the original paper. Clearly the extension is purely large if the unitisation is purely large. Assume that the non-unital extension is purely large. Note, in particular, that the Busby
 map $\tau$ is injective. It suffices to show, that
 $\overline{(1-x)\mathfrak B (1-x)^\ast}$ contains a stable $C^\ast$-subalgebra which is full in $\mathfrak B$ for any $x \in \mathfrak E$. Suppose that $(1-x) \mathfrak E \subset \mathfrak B$. Then $\pi(x)$ is a unit for $\pi(\mathfrak E) = \tau(\mathfrak A) \subset \corona{\mathfrak B}$.
 However, this contradicts that $\mathfrak A$ is non-unital, since the Busby map $\tau$ is injective. Hence we may find $x' \in \mathfrak E$ such that $(1-x)x' \notin \mathfrak B$. Since
 \[
  \overline{(1-x)x' \mathfrak B ((1-x)x')^\ast} \subset \overline{(1-x) \mathfrak B (1-x)^\ast}
 \]
 and since the non-unital extension is purely large, the former of these contains a stable $C^\ast$-subalgebra which is full in $\mathfrak B$.
\end{proof}

To prove a stronger result, where the assumption that the quotient being unital is removed, we will use the following lemma.

\begin{lemma}\label{l:quotcomplex}
Let $\mathfrak B$ be a stable, separable $C^\ast$-algebra, and let $P\in \multialg{\mathfrak B}$ be a norm-full, properly infinite projection.
Then the trivial extension of $\mathbb C$ by $\mathfrak B$ with splitting $\sigma$ given by $\sigma(1) = P$, is purely large.
\end{lemma}
\begin{proof}
 If $P=1$ then the extension is the canonical unitisation extension which is clearly self-absorbing. It follows from \cite{ElliottKucerovsky-extensions} that it is purely large.

It is well known, since $\mathfrak B$ is stable, that $P$ is full and properly infinite exactly when it is Murray--von Neumann equivalent to $1$.
Let $v$ be an isometry such that $vv^\ast = P$ and let $t_1,t_2 \in \multialg{\mathfrak B}$ be such that $t_1t_1^\ast + t_2 t_2^\ast =P = t_1^\ast t_1 = t_2^\ast t_2$.
Then $s_1:= t_1v$ and $s_2:= t_2 + (1-P)$ are the canonical generators of a unital copy of $\mathcal O_2$ in $\multialg{\mathfrak B}$, for which $P = s_1s_1^\ast + s_2 Ps_2^\ast$. Hence
\[
\pi (\sigma(1)) = \pi(s_1) 1 \pi(s_1)^\ast + \pi(s_2) \pi(P) \pi(s_2)^\ast,
\]
which implies that our extension is the Cuntz sum of the unitisation extension and itself. It follows from \cite[Lemma 13]{ElliottKucerovsky-extensions} that our extension is purely large.
\end{proof}

Now for the stronger case where we allow the quotient to be unital.

\begin{theorem}\label{t:unitalquot}
  Let $0 \to \mathfrak B \to \mathfrak E \to \mathfrak A \to 0$ be an extension of separable $C^\ast$-algebras with $\mathfrak B$ stable.
  The extension is nuclearly absorbing if and only if it is purely large and there is a norm-full, properly infinite projection $P\in \multialg{\mathfrak B}$ such that $P\mathfrak E \subset \mathfrak B$.
\end{theorem}
\begin{proof}
 Assume that the extension is nuclearly absorbing. Then it absorbs the zero extension so we may assume that the Busby map is of the form $\tau\oplus 0$, where $\oplus$ denotes a Cuntz sum.
 Let $P = 0\oplus 1$. Then $P \mathfrak E \subset \mathfrak B$ since $\pi(P)$ annihilates the image of the Busby map. Moreover, the extension absorbs some purely large extension and is thus itself purely large by \cite[Lemma 13]{ElliottKucerovsky-extensions}.

 Now suppose that the extension is purely large and that $P$ is a full, properly infinite projection such that $P\mathfrak E \subset \mathfrak B$. As in the proof of Theorem \ref{t:nonunitalquot} it suffices to show
 that the unitised extension is purely large. It is enough to show that $\overline{(1-x
) \mathfrak B (1-x)^\ast}$ contains a stable $C^\ast$-subalgebra which is full in $\mathfrak B$, for
 any $x\in \mathfrak E$. Observe that
 \[
  \overline{(1-x)P\mathfrak B P(1-x)^\ast} \subset \overline{(1-x) \mathfrak B (1-x)^\ast}.
 \]
Since $(1-x)P = P - xP$ and $xP \in \mathfrak B$, it suffices to show that the extension $0 \to \mathfrak B \to \mathfrak B + \mathbb C P \to \mathbb C \to 0$ is purely large. This follows from Lemma \ref{l:quotcomplex}.
\end{proof}

Note that an extension must be non-unital in order to satisfy the equivalent conditions in the above theorem. We immediately get the following corollary.

\begin{corollary}\label{c:abszero}
  Let $0 \to \mathfrak B \to \mathfrak E \to \mathfrak A \to 0$ be an extension of separable $C^\ast$-algebras with $\mathfrak B$ stable.
  Then the extension is nuclearly absorbing if and only if it is purely large and absorbs the zero extension.
\end{corollary}

When we assume that the ideal has the corona factorisation property, then we get a perhaps more hands on way for checking if a full extension is nuclearly absorbing. To exhibit this we introduce the following definition.

\begin{definition}\label{d:unitfull}
Let $0 \to \mathfrak B \to \mathfrak E \to \mathfrak A \to 0$ be an extension of $C^\ast$-algebras. We say that the extension is \emph{unitisably full} if the unitised extension $0 \to \mathfrak B \to \mathfrak E^\dagger \to \mathfrak A^\dagger \to 0$ is full.
\end{definition}

It is clear that if an extension is unitisably full, then it is full and non-unital. If the quotient algebra $\mathfrak A$ is unital, then the extension is unitisably full if and only if the extension is full and $1_{\corona{\mathfrak B}}-\tau(1_{\mathfrak A})$ is full, where $\tau$ denotes the Busby map. Note that this case is our main concern due to Theorem \ref{t:nonunitalquot}.

\begin{theorem}\label{t:coronaunitfull}
 Let $0 \to \mathfrak B \to \mathfrak E \to \mathfrak A \to 0$ be an extension of separable $C^\ast$-algebras, such that $\mathfrak B$ is stable and has the corona factorisation property. Then the extension is nuclearly
 absorbing if and only if the extension is unitisably full.
\end{theorem}
\begin{proof}
As in the proof of Theorem \ref{t:nonunitalquot} the extension is nuclearly absorbing if and only if the unitised extension is purely large. Since $\mathfrak B$ has the corona factorisation property, this is the case if and only if the extension is unitisably full.
\end{proof}

We will end this section by showing that in the absence of the corona factorisation property, there are purely large, unitisably full extensions which are not nuclearly absorbing. We will need a converse of Lemma \ref{l:quotcomplex}.

\begin{proposition}\label{p:extofC}
Let $\mathfrak B$ be a stable, separable $C^\ast$-algebra, and let $P\in \multialg{\mathfrak B}$ be a norm-full projection.
Then the trivial extension of $\mathbb C$ by $\mathfrak B$ with splitting $\sigma$ given by $\sigma(1) = P$, is purely large if and only if $P$ is properly infinite.
\end{proposition}
\begin{proof}
 One direction is Lemma \ref{l:quotcomplex}. Suppose that the extension is purely large. It suffices to show that the Cuntz sum $P\oplus 0$ is properly infinite. The extension with splitting $\sigma'(1) = P\oplus 0$ is purely large and absorbs the zero extension,
 and thus it is absorbing by Corollary \ref{c:abszero}. Since the extension with splitting $\sigma_0 (1) = 1\oplus 0$ is also absorbing, there is a unitary $U\in \multialg{\mathfrak B}$ such that $U^\ast (P \oplus 0) U - 1\oplus 0 \in \mathfrak B$.
 Pick an isometry $V \in \multialg{\mathfrak B}$ such that $V^\ast (1\oplus 0) V = 1$. Then $V^\ast( U^\ast (P \oplus 0) U - 1\oplus 0)V = (UV)^\ast (P\oplus 0) UV - 1 \in \mathfrak B$. Since $\mathfrak B$ is stable, we may find an isometry $W$ such that
 \[
  \| (UVW)^\ast (P\oplus 0) UVW - 1\| = \| W^\ast( (UV)^\ast (P\oplus 0) UV - 1 ) W\| < 1.
 \]
 This implies that $P\oplus 0$, and thus also $P$, is properly infinite.
\end{proof}

We can now extend our class of counter examples to include purely large, unitisably full extensions $0 \to \mathfrak B \to \mathfrak E \to \mathfrak A \to 0$, which are not nuclearly absorbing.
In fact, such an extension can be made for any $\mathfrak B$ without the corona factorisation property.

\begin{proposition}\label{p:noncoronanonabs}
 Let $\mathfrak B$ be a stable, separable $C^\ast$-algebra which does not have the corona factorisation property. Then there is a purely large, unitisably full extension of $\mathbb C$ by $\mathfrak B$ which is not nuclearly absorbing.
\end{proposition}
\begin{proof}
 Let $Q$ be a full multiplier projection which is not properly infinite, but where $P:= 1-Q$ is properly infinite and full.
 Such a projection can be obtained by taking any full multiplier projection $Q'$ which is not properly infinite, and letting $Q = Q' \oplus 0$ be a Cuntz sum. In fact, $P=1-Q$ will be properly infinite since it majorises the properly infinite, full projection $0\oplus 1$.
 Consider the trivial extension $\mathfrak E$ of $\mathbb C$ by $\mathfrak B$ with splitting $\sigma(1) = P$. The unitised extension has a splitting $\sigma_1 \colon \mathbb C \oplus \mathbb C \to \multialg{\mathfrak B}$ given by $\sigma_1(1 \oplus 0) = P$ and $\sigma_1(0\oplus 1) = Q$. Since both $P$ and $Q$ are full and orthogonal, the unitised extension is full.

 By Proposition \ref{p:extofC} the extension is purely large. As seen in \cite{ElliottKucerovsky-extensions} such an extension is nuclearly absorbing exactly when its unitisation is purely large. If the unitisation was purely large,
 then $\overline{(Q-b)\mathfrak B(Q-b)^\ast}$ would contain a stable $C^\ast$-subalgebra full in $\mathfrak B$, for every $b\in \mathfrak B$.
 However, this would imply that the extension of $\mathbb C$ by $\mathfrak B$ with splitting $\sigma_0(1) = Q$ is purely large, which it is not by Proposition \ref{p:extofC}. Hence the extension is not nuclearly absorbing.
\end{proof}

\section{How this affects classification results}

In the classification of non-simple $C^\ast$-algebras, a popular result has been a result of Kucerovsky and Ng, which says that under the mild condition of the corona factorisation property on a stable, separable $C^\ast$-algebra $\mathfrak B$,
$KK^1(\mathfrak A,\mathfrak B)$ is the group of unitary equivalence classes of full extensions $\mathfrak E$ of $\mathfrak A$ by $\mathfrak B$ for any nuclear separable $C^\ast$-algebra $\mathfrak A$. This is unfortunately not the case.
The theorem only remains true if one adds the condition that the extensions are unitisably full as in Definition \ref{d:unitfull}. See Theorem \ref{t:KK1class} below.

A counter example of the original result could be as follows.

\begin{example}
Let $0 \to \mathfrak B \to \mathfrak E \to \mathfrak A \to 0$ be the extension from Example \ref{e:counterexm} with Busby map $\tau$. Then $\mathfrak B$ has the corona factorisation property and the extension is full.
As seen in Example \ref{e:counterexm}, $\tau$ and $\tau \oplus 0$ are both non-unital and are \emph{not} unitarily equivalent. However, they define the same element in $KK^1(\mathfrak A, \mathfrak B)$.
\end{example}

The closest we get to fixing the theorem would be the following.

\begin{theorem}\label{t:KK1class}
 Let $\mathfrak B$ be a separable, stable $C^\ast$-algebra. Then the following are equivalent.
 \begin{itemize}
  \item[$(i)$] $\mathfrak B$ has the corona factorisation property,
  \item[$(ii)$] for any separable $C^\ast$-algebra $\mathfrak A$, $KK^1_\mathrm{nuc}(\mathfrak A, \mathfrak B)$ is the group of strong unitary equivalence classes of all full, weakly nuclear extensions of $\mathfrak A$ by $\mathfrak B$ which absorb the zero extension,
  \item[$(iii)$] for any separable $C^\ast$-algebra $\mathfrak A$, $KK^1_\mathrm{nuc}(\mathfrak A, \mathfrak B)$ is the group of strong unitary equivalence classes of all full, weakly nuclear extensions $\mathfrak E$ of $\mathfrak A$ by $\mathfrak B$,
  for which there is a norm-full projection $P\in \multialg{\mathfrak B}$ such that $P \mathfrak E \subset \mathfrak B$.
  \item[$(iv)$] for any separable $C^\ast$-algebra $\mathfrak A$, $KK^1_\mathrm{nuc}(\mathfrak A, \mathfrak B)$ is the group of strong unitary equivalence classes of all unitisably full, weakly nuclear extensions $\mathfrak E$ of $\mathfrak A$ by $\mathfrak B$.
 \end{itemize}
\end{theorem}
\begin{proof}
 It is well-known that $KK^1_\mathrm{nuc}(\mathfrak A, \mathfrak B)$ is (isomorphic to) the group of strong unitary equivalence classes of weakly nuclear extensions of $\mathfrak A$ by $\mathfrak B$ which are nuclearly absorbing. Thus $(i)\Rightarrow (iv)$ by Theorem \ref{t:coronaunitfull} and
 $(iv) \Rightarrow (i)$ follows from Proposition \ref{p:noncoronanonabs}.

 If $\mathfrak B$ has the corona factorisation property, then any full extension by $\mathfrak B$ is purely large. Thus $(i) \Rightarrow (iii)$ follows from Theorem \ref{t:unitalquot}.

 $(iii)$ is clearly equivalent to the condition, that for any $C^\ast$-algebra $\mathfrak A$, any full, weakly nuclear extension $\mathfrak E$ of $\mathfrak A$ by $\mathfrak B$, for which there is a full projection $P\in \multialg{\mathfrak B}$ such that
 $P\mathfrak E \subset \mathfrak B$, is nuclearly absorbing. If the extension $\mathfrak E$ has Busby map $\tau \oplus 0$, then $(0\oplus 1)\mathfrak E \subset \mathfrak B$, and thus $(iii) \Rightarrow (ii)$.

 It remains to show $(ii) \Rightarrow (i)$. Let $P\in \multialg{\mathfrak B}$ be a full projection, and $P \oplus 0$ be the Cuntz sum. Note that $Q \sim Q \oplus 0$ for any projection $Q$.
 By $(ii)$ the extension with the Busby map $\tau \colon \mathbb C \to \corona{\mathfrak B}$ given by $\tau(1) = \pi(P \oplus 0)$ is nuclearly absorbing. In particular, it absorbs the unitisation extension of $\mathfrak B$.
 Consider the lift $\rho(1) = P \oplus 0$ of $\tau$ and the canonical lift of the unitisation extension of $\mathfrak B$.
 We may find a unitary $u\in \multialg{\mathfrak B}$ such that $u^\ast (P \oplus 0 \oplus 0)u - 0 \oplus 0 \oplus 1 \in \mathfrak B$. If $v$ is an isometry such that $vv^\ast = 0 \oplus 0 \oplus 1$
 then $(uv)^\ast (P \oplus 0 \oplus 0) uv - 1 \in \mathfrak B$. Thus we may pick an isometry $w$ such that
 \[
  \| w^\ast((uv)^\ast (P\oplus 0 \oplus 0) uv - 1)w\| = \| s^\ast (P \oplus 0 \oplus 0)s - 1\|  < 1,
 \]
 where $s$ is the isometry $uvw$.
 Hence $P$ is Murray--von Neumann equivalent to $s^\ast(P \oplus 0 \oplus 0) s$, which is equivalent to $1$.
\end{proof}

\begin{remark}
 It clearly follows from the proof above, that we could restrict our attention only to nuclear $C^\ast$-algebras $\mathfrak A$ if desired. In this case we can remove the weakly nuclear condition, since all extensions of a separable, nuclear $C^\ast$-algebra
 are weakly nuclear by the lifting theorem of Choi and Effros \cite{ChoiEffros-lifting}, and also we would have $KK^1_\mathrm{nuc}(\mathfrak A, \mathfrak B) = KK^1(\mathfrak A , \mathfrak B)$.
\end{remark}

We still get some nice results for classification. This follows from the above theorem and Theorem \ref{t:nonunitalquot}.

\begin{corollary}\label{c:nonunitalclass}
 Let $\mathfrak B$ be a separable, stable $C^\ast$-algebra with the corona factorisation property and let $\mathfrak A$ be a non-unital, separable $C^\ast$-algebra. Then $KK^1_\mathrm{nuc}(\mathfrak A, \mathfrak B)$ is the group of strong unitary equivalence classes
 of all full, weakly nuclear extensions of $\mathfrak A$ by $\mathfrak B$.
\end{corollary}

\begin{corollary}\label{c:stableclass}
 Let $\mathfrak B$ be a separable, stable $C^\ast$-algebra with the corona factorisation property and let $\mathfrak A$ be a separable $C^\ast$-algebra. Let $\mathfrak E_i$ be full, weakly nuclear extensions of $\mathfrak A$ by $\mathfrak B$,
 with Busby maps $\tau_i$, for $i=1,2$. If $[\tau_1] = [\tau_2] \in KK^1_\mathrm{nuc}(\mathfrak A, \mathfrak B)$, then $\mathfrak E_1 \otimes \mathbb K \cong \mathfrak E_2 \otimes \mathbb K$.
\end{corollary}
\begin{proof}
 Given a Busby map $\tau \colon \mathfrak A \to \corona{\mathfrak B}$, let $\tau^s$ be the composition
 \[
 \mathfrak A \otimes \mathbb K \xrightarrow{\tau \otimes id} \corona{\mathfrak B} \otimes \mathbb K \hookrightarrow \corona{\mathfrak B \otimes \mathbb K}.
 \]
 It is well-known that the map $KK^1_\mathrm{nuc}(\mathfrak A, \mathfrak B) \to KK^1_\mathrm{nuc}(\mathfrak A\otimes \mathbb K, \mathfrak B \otimes \mathbb K)$ given by $[\tau] \mapsto [\tau^s]$, is an isomorphism
 (the proof is identical to the similar result in classical $KK$-theory). Thus $\tau_1^s$ and $\tau_2^s$ are strongly unitarily equivalent
 by Corollary \ref{c:nonunitalclass}, and since their corresponding extension algebras are $\mathfrak E_1 \otimes \mathbb K$ and $\mathfrak E_2 \otimes \mathbb K$ respectively, it follows that $\mathfrak E_1 \otimes \mathbb K \cong \mathfrak E_2 \otimes \mathbb K$.
\end{proof}

\begin{remark}
Every result in this note holds with the ideal $\mathfrak B$ being $\sigma$-unital instead of separable. The quotient $\mathfrak A$ should still be separable.
This is a special case of a much more general result, proved by the author in collaboration with Efren Ruiz in \cite{GabeRuiz-absrep}.
\end{remark}

\section{The counter example of Ruiz}

\begin{definition}
 Let $E=(E^0,E^1,r,s)$ be a (countable, directed) graph. The \emph{graph $C^\ast$-algebra} $C^\ast(E)$ is the universal $C^\ast$-algebra generated by mutually orthogonal projections $p_v$ for $v\in E^0$, and isometries $s_e$ for $e\in E^1$,
 which satisfy the relations
 \begin{itemize}
  \item $s_e^\ast s_f = \delta_{ef} p_{r(e)}$ for all $e,f\in E^1$,
  \item $s_e s_e^\ast \leq p_{s(e)}$ for all $e\in E^1$,
  \item $p_v = \sum_{e\in s^{-1}(\{ v\})} s_e s_e^\ast$ for all $v\in E^0$ satisfying $0 < | s^{-1}(\{ v\} ) | < \infty$.
 \end{itemize}
\end{definition}

\begin{example}[Counter example to Theorem 4.9 of \cite{EilersRestorffRuiz-K-theoryfullext}]
 \cite[Theorem 4.9]{EilersRestorffRuiz-K-theoryfullext} states that if $C^\ast(E)$ and $C^\ast(F)$ are non-unital and both have exactly one non-trivial, two-sided, closed ideal, and the induced six-term exact sequence in $K$-theory are isomorphic, such that
 the isomorphisms on all $K_0$-groups preserve order and scale, then $C^\ast(E) \cong C^\ast(F)$. We will provide a counter example to this result.

 Let $E$ and $F$ be the respective graphs
 \[
  \xymatrix{
  v \ar@(rd,ru) \ar@(ld,lu) \ar[d] &&&&&& w \ar@(rd,ru) \ar@(ld,lu) \ar[d]\\
  v_0 \ar[r]^2 & v_1 \ar[r]^2 & v_2 \ar[r]^2 & \dots& \dots \ar[r] &  w_{-1} \ar[r] &  w_{0} \ar[r]^2 & w_1 \ar[r]^2 & w_2 \ar[r]^2 & \dots
  }
 \]
 Both $C^\ast(E)$ and $C^\ast(F)$ are non-unital, full extensions of the Cuntz algebra $\mathcal O_2$ by the stabilisation of the CAR algebra $M_{2^\infty} \otimes \mathbb K$.
 The six-term exact sequences of the induced extensions, where we write the $K_0$-groups with order and scale as $(K_0(\mathfrak A), K_0(\mathfrak A)^+, \Sigma K_0(\mathfrak A))$, are both isomorphic to
 \[
  \xymatrix{
  (\mathbb Z[\tfrac{1}{2}], \mathbb Z[\tfrac{1}{2}]_+,\mathbb Z[\tfrac{1}{2}]_+)  \ar[r]^{\; \; (id,\iota,\iota)} & (\mathbb Z[\tfrac{1}{2}],\mathbb Z[\tfrac{1}{2}],\mathbb Z[\tfrac{1}{2}]) \ar[r] & (0,0,0) \ar[d] \\
  \ar[u] 0 & 0 \ar[l] & 0. \ar[l]
  }
 \]
 where $\mathbb Z[\tfrac{1}{2}]_+ = \mathbb Z[\tfrac{1}{2}] \cap [0,\infty)$ and $\iota \colon \mathbb Z[\tfrac{1}{2}]_+ \hookrightarrow \mathbb Z[\tfrac{1}{2}]$ is the canonical inclusion.
 To compute the order and scale of $K_0(C^\ast(E))$ and $K_0(C^\ast(F))$ we simply used that both $C^\ast(E)$ and $C^\ast(F)$ contain a full, properly infinite projection, $p_v$ and $p_w$ respectively, and applied \cite[Proposition 4.1.4]{Rordam-book-class}.
 Thus if \cite[Theorem 4.9]{EilersRestorffRuiz-K-theoryfullext} were true, it should follow that $C^\ast(E) \cong C^\ast(F)$. We will show that this is not the case, by showing that one extension with $C^\ast(F)$ is nuclearly absorbing, but that the
 extension with $C^\ast(E)$ is not.

 \textbf{The extension with $C^\ast(F)$ is nuclearly absorbing:}
 Recall, that $F^\ast$ denotes the set of paths in $F$, and that if $\alpha = e_1 \dots e_n\in F^\ast$ then $s_\alpha := s_{e_1} \dots s_{e_n}$, and that $r(\alpha) = r(e_n)$ and $s(\alpha) = s(e_1)$.
 The ideal $\mathfrak I_F$ in $C^\ast(F)$ isomorphic to $M_{2^\infty} \otimes \mathbb K$ is given by
 \[
  \mathfrak I_F = \overline{\mathrm{span}} \{ s_\alpha s_\beta^\ast : \alpha, \beta\in F^\ast, r(\alpha) = r(\beta) = w_n \text{ for some }n \in \mathbb Z \}.
 \]
 Let $P = \sum_{n=1}^\infty w_{-n}$ which is easily seen to converge strictly in the multiplier algebra of $\mathfrak I_F$.
 We clearly have that $P C^\ast(F) \subset \mathfrak I_F$. Thus, if $P$ is a full, properly infinte projection in $\multialg{\mathfrak I_F}$, then it follows from Theorem \ref{t:unitalquot} that the extension with $C^\ast(F)$ is nuclearly absorbing.
 Since $\mathfrak I_F$ has the corona factorisation property it suffices to show that $P$ is full.

 Note that $M_{2^\infty} \cong p_{w_0} \mathfrak I_F p_{w_0}$. Let $\rho$ denote the unique tracial state on $p_{w_0} \mathfrak I_F p_{w_0}$, and $\rho_\infty$ denote the induced trace function on $\multialg{\mathfrak I_F}_+$.
 It follows from \cite[Theorem 4.4]{Rordam-multialg} that $P$ is full if and only if $\rho_\infty(P) = \infty$.
 Since $p_{w_{-n}}$ for $n>0$ is Murray--von Neumann equivalent to $p_{v_0}$, it follows that $\rho(p_{w_{-n}}) = \rho(p_{v_0}) = 1$ and thus $\rho_\infty (P) = \sum_{n=1}^\infty \rho(p_{w_{-n}}) = \infty$.
 Thus the extension $0 \to \mathfrak I_F \to C^\ast(F) \to C^\ast(F)/\mathfrak I_F \to 0$ is nuclearly absorbing.

 \textbf{The extension with $C^\ast(E)$ is not nuclearly absorbing:}
 The ideal $\mathfrak I_E$ in $C^\ast(E)$ isomorphic to $M_{2^\infty} \otimes \mathbb K$ is given by
 \[
  \mathfrak I_E = \overline{\mathrm{span}} \{ s_\alpha s_\beta^\ast : \alpha, \beta\in E^\ast, r(\alpha) = r(\beta) = v_n \text{ for some }n \geq 0 \}.
 \]
 To show that the extension $\mathfrak e \colon 0 \to \mathfrak I_E \to C^\ast(E) \to \mathcal O_2 \to 0$ is not nuclearly absorbing, it suffices to show that the unitised extension
 $\mathfrak e^\dagger \colon 0 \to \mathfrak I_E \to C^\ast(E)^\dagger \to \mathcal O_2 \oplus \mathbb C \to 0$ is \emph{not} full.
 Let $\sigma \colon C^\ast(E) \to \multialg{\mathfrak I_E}$ be the canonical $\ast$-homomorphism. Then $C^\ast(E)^\dagger \cong \sigma(C^\ast(E)) + 1_{\multialg{\mathfrak I_E}}$.
 Note that $1-\sigma(p_{v})$ is a lift of $(0,1) \in \mathcal O_2 \oplus \mathbb C$ (under the obvious identifications),
 so if $\mathfrak e^\dagger$ is full, we should have that $1-\sigma(p_{v}) + \mathfrak I_E$ is full in $\corona{\mathfrak I_E}$.
 Since $\mathfrak I_E$ is stable, fullness of $1-\sigma(p_{v}) + \mathfrak I_E$ is equivalent to fullness of $1- \sigma(p_v)$ in $\multialg{\mathfrak I_E}$.

 The corner in $\mathfrak I_E$ generated by $1-\sigma(p_v)$ is easily seen to be
 \[
  \overline{\mathrm{span}} \{ s_\alpha s_\beta^\ast : s(\alpha) \neq v \neq s(\beta)\},
 \]
 which has an approximate unit $(\sum_{n=0}^k p_{v_n})_{k=1}^\infty$. Thus $1 - \sigma(p_v) = \sum_{n=0}^\infty p_{v_n}$.
 As above, $M_{2^\infty} \cong p_{v_0} \mathfrak I_E p_{v_0}$, so let $\rho$ be the unique tracial state and $\rho_\infty$ be the induced trace function on $\multialg{\mathfrak I_E}_+$.
 We have that $\rho(p_{v_n}) = 2^{-n}$ so $\rho_\infty (1-\sigma(p_v)) = \sum_{n=0}^\infty 2^{-n} < \infty$. It follows that $1-\sigma(p_v)$ is not full, and thus $\mathfrak e$ is not nuclearly absorbing.

 In particular, $C^\ast(E) \not \cong C^\ast(F)$.
\end{example}

\subsection*{Acknowledgement} I am indebted to Efren Ruiz for the above counter example, as well as for other helpful comments.

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Don't settle for typical Barcelona vacation photos with this Instagram-ready photo tour, where you can enjoy photos shoots in some of the city's most picturesque destinations. Let you photographer-guide whisk you through the Gothic Quarter, Parc de la Ciutadella, and to the must-see Sagrada Familia, complete with ample time to see the sights and pose for professional-quality photos. Within a week, you can post your retouched images, and share your Barcelona experience with the world.
Pedal Your Way Into Barcelona History Bike Tour
Get an overview of Barcelona's most impressive buildings, bodegas, and beaches on this action-packed bike tour. Enjoy guide commentary and regular stop-offs to admire local sights, including time to have a picnic at the beach (bring your own snacks). It's a great way to tick off many Barcelona highlights in a short space of time, including Barcelona Cathedral, Placa Reial, and La Sagrada Familia.
The Most Complete Full Day Private Tour with Sagrada Familia and Park Guell
Skip the hassle of planning—and the lines along the way—on this private tour of Barcelona's heritage, architecture, and gastronomy that combines a walking tour with taxi rides to top destinations. Ideal for first-time visitors who want to squeeze all the highlights into one day, traveling with a personal guide lets you maximize your time and discover parts of the city you would likely miss on your own.
Barcelona Guided Tour by Segway
Explore Barcelona by Segway, the fastest way to get around the city's top attractions. Choose your tour duration, then depart from Las Ramblas, with multiple departure times to fit your travel schedule. Your guide shares stories and curiosities of the Mediterranean city on this small-group experience, limited to six people.
Combo Tour: Fast Track Sagrada Familia & Park Güell with the Best of Gaudí
Delve into the eccentric imagination of Antoni Gaudí on a combo tour that combines two of Barcelona's most interesting experiences. Accompanied by a knowledgeable guide, sail past the long lines at the entrance of La Sagrada Familia with a priority access pass and marvel at the inspiring interior of the famously unfinished church. Afterward, explore the sculpted splendor of Park Güell and stroll down Passeig de Gràcia to see La Pedrera (Casa Mila) and Casa Batlló, two of the architect's most distinctive and dynamic designs.
Barcelona and Montserrat: small-group, skip-the-lines, pickup from hotel or port
Visitors with limited time in bustling Barcelona often face a tough choice—you can explore Barcelona's top attractions, or visit the scenic Montserrat mountains, situated just outside of the city. With this attraction-packed guided tour, you can actually do both, in only a few hours. Let your guide lead the way to many of Barcelona's must-see attractions—from Gaudi's architectural treasures to sun-soaked Park Guell—and stop at Montana de Montserrat, with admission included in the tour price.
Barcelona Skip the Line Tour: Sagrada Familia, Park Güell & La Pedrera
Cover the best of Barcelona on this full-day tour. Visit the city's most famous attractions and landmarks such as the Gothic Quarter, Plaza Catalunya, Montjuic and more as you learn about Barcelona's history from your informative guide. This comprehensive tour also includes skip-the-line access to three popular attractions: Sagrada Familia, Park Guell, and La Pedrera. Enjoy a light breakfast and an Iberian ham tasting as an additional treat.
What are Sagrada Família hours of operation?
Sagrada Família hours of operation: Opens at 9am daily; closing times vary by season (6pm Nov–Feb; 7pm March, Oct; 8pm April–Sept). Buy tickets in advance on Viator. If you book with Viator, you can cancel at least 24 hours before the start date of your tour for a full refund.
Should I book Sagrada Família tickets in advance?
We recommend booking e-tickets ahead of time to secure your spot since Sagrada Família can get crowded. If you book with Viator, you can cancel at least 24 hours before the start date of your tour for a full refund. See all 329 Sagrada Família tickets and tours on Viator.
How much does it cost to visit Sagrada Família 2021?
Currently, an entrance ticket to Sagrada Família costs USD 11.00. Guided Sagrada Família tours start around USD 11.00 per person. See all 329 Sagrada Família tickets and tours on Viator.
What's the best way to experience Sagrada Família?
The best ways to experience Sagrada Família are:
See all Sagrada Família experiences on Viator.