Mathematics – Operator Algebras
Scientific paper
2009-03-19
Mathematics
Operator Algebras
43 pages; revised version with substantial changes in the text and references; To appear in "Journal of Operator Theory"
Scientific paper
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.
Buss Alcides
Exel Ruy
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