The local bisection hypothesis for twisted groupoid C*-algebras

Becky Armstrong, Jonathan H. Brown, Lisa Orloff Clark, Kristin Courtney, Ying-Fen Lin*, Kathryn McCormick, Jacqui Ramagge

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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In this note, we present criteria that are equivalent to a locally compact Hausdorff groupoid G being effective. One of these conditions is that G 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.

Original languageEnglish
Number of pages15
JournalSemigroup Forum
Early online date17 Oct 2023
Publication statusEarly online date - 17 Oct 2023


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