Representing Structured Semigroups on Etale Groupoid Bundles

preprint2022arXivOpen access

Abstract

We examine a semigroup analogue of the Kumjian-Renault representation of C*-algebras with Cartan subalgebras on twisted groupoids. Specifically, we show how to represent semigroups with distinguished normal subsemigroups as `slice-sections' of groupoid bundles.

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