The local bisection hypothesis for twisted groupoid C*-algebras
Operator Algebras
2023-10-24 v2 Rings and Algebras
Abstract
In this note, we present criteria that are equivalent to a locally compact Hausdorff groupoid being effective. One of these conditions is that satisfies the "C*-algebraic local bisection hypothesis"; that is, that every normaliser in the reduced twisted groupoid C*-algebra is supported on an open bisection. The semigroup of normalisers plays a fundamental role in our proof, as does the semigroup of normalisers in cyclic group C*-algebras.
Keywords
Cite
@article{arxiv.2307.13814,
title = {The local bisection hypothesis for twisted groupoid C*-algebras},
author = {Becky Armstrong and Jonathan H. Brown and Lisa Orloff Clark and Kristin Courtney and Ying-Fen Lin and Kathryn McCormick and Jacqui Ramagge},
journal= {arXiv preprint arXiv:2307.13814},
year = {2023}
}
Comments
11 pages. This version matches the version in Semigroup Forum