  Given a saturated Fell bundle A over an inverse semigroup S which is
semi-abelian in the sense that the fibers over the idempotents of S are
commutative, we construct a twisted etale groupoid L such that A can be
recovered from L in a canonical way. As an application we recover most of
Renault's recent result on the classification of Cartan subalgebras of
C*-algebras through twisted etale groupoids.

Operator Algebras