The local bisection hypothesis for twisted groupoid C*-algebras

• DOI: 10.1007/s00233-023-10392-9
• Publication Date: 2023-10-17T21:01:24Z
• Authors: Becky Armstrong; Jonathan H. Brown; Lisa Orloff Clark; Kristin Courtney; Ying-Fen Lin; Kathryn McCormick; Jacqui Ramagge
• Keywords: Double groupoid; Bisection; Algebraic structure

Abstract In this note, we present criteria that are equivalent to a locally compact Hausdorff groupoid G being effective. One of these conditions is satisfies the C*-algebraic local bisection hypothesis ; is, every normaliser in reduced twisted C*-algebra supported on an open bisection. The semigroup normalisers plays fundamental role our proof, as does cyclic group C*-algebras.