REPRESENTING STRUCTURED SEMIGROUPS ON ÉTALE GROUPOID BUNDLES

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

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Bibliographic Details
Published in:Journal of the Australian Mathematical Society (2001) 2023-02, Vol.114 (1), p.1-49
Main Author: BICE, TRISTAN
Format: Article
Language:English
Subjects:
Algebra
Semigroups
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Description
Summary:We examine a semigroup analogue of the Kumjian–Renault representation of C*-algebras with Cartan subalgebras on twisted groupoids. Specifically, we represent semigroups with distinguished normal subsemigroups as ‘slice-sections’ of groupoid bundles.
ISSN:1446-7887
1446-8107
DOI:10.1017/S1446788722000064