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

doi:10.1007/s00233-023-10392-9

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

^*Kontaktforfatter

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

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Abstract

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.

Originalsprog	Engelsk
Tidsskrift	Semigroup Forum
Vol/bind	107
Sider (fra-til)	609–623
ISSN	0037-1912
DOI	https://doi.org/10.1007/s00233-023-10392-9
Status	Udgivet - dec. 2023
Udgivet eksternt	Ja

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10.1007/s00233-023-10392-9Licens: CC BY

Open Access VersionForlagets udgivne version, 296 KBLicens: CC BY

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Tjek adgangen til materialet i Syddansk Universitetsbiblioteks søgemaskine

Citationsformater

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title = "The local bisection hypothesis for twisted groupoid C*-algebras",

abstract = "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.",

author = "Becky Armstrong and Brown, \{Jonathan H.\} and Clark, \{Lisa Orloff\} and Kristin Courtney and Ying-Fen Lin and Kathryn McCormick and Jacqui Ramagge",

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T1 - The local bisection hypothesis for twisted groupoid C*-algebras

AU - Armstrong, Becky

AU - Brown, Jonathan H.

AU - Clark, Lisa Orloff

AU - Courtney, Kristin

AU - Lin, Ying-Fen

AU - McCormick, Kathryn

AU - Ramagge, Jacqui

PY - 2023/12

Y1 - 2023/12

N2 - 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.

AB - 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.

U2 - 10.1007/s00233-023-10392-9

DO - 10.1007/s00233-023-10392-9

M3 - Journal article

SN - 0037-1912

VL - 107

SP - 609

EP - 623

JO - Semigroup Forum

JF - Semigroup Forum

ER -

The local bisection hypothesis for twisted groupoid C*-algebras

Abstract

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