  Let $A$ be a $\sigma$-unital finite simple $C^*$-algebra which has strict
comparison property. We show that if the canonical map $\Gamma$ from the Cuntz
semigroup to certain lower semi-continuous affine functions is surjective, then
$A$ has tracial approximate oscillation zero and stable rank one. Equivalently,
if $A$ has an almost unperforated and almost divisible Cuntz semigroup, then
$A$ has stable rank one and tracial approximate oscillation zero.

Operator Algebras