Reduced C*-algebras of Fell bundles over inverse semigroups
Operator Algebras
2019-04-30 v2
Abstract
We construct a weak conditional expectation from the section C*-algebra of a Fell bundle over a unital inverse semigroup to its unit fibre. We use this to define the reduced C*-algebra of the Fell bundle. We study when the reduced C*-algebra for an inverse semigroup action on a groupoid by partial equivalences coincides with the reduced groupoid C*-algebra of the transformation groupoid, giving both positive results and counterexamples.
Keywords
Cite
@article{arxiv.1512.05570,
title = {Reduced C*-algebras of Fell bundles over inverse semigroups},
author = {Alcides Buss and Ruy Exel and Ralf Meyer},
journal= {arXiv preprint arXiv:1512.05570},
year = {2019}
}