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The local bisection hypothesis for twisted groupoid C*-algebras

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dc.contributor.authorArmstrong, B.
dc.contributor.authorBrown, J.H.
dc.contributor.authorClark, L.O.
dc.contributor.authorCourtney, K.
dc.contributor.authorLin, Y.F.
dc.contributor.authorMcCormick, K.
dc.contributor.authorRamagge, J.
dc.date.issued2023
dc.description.abstractIn 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.
dc.identifier.citationSemigroup Forum, 2023; 107(3):609-623
dc.identifier.doi10.1007/s00233-023-10392-9
dc.identifier.issn0037-1912
dc.identifier.issn1432-2137
dc.identifier.urihttps://hdl.handle.net/11541.2/36462
dc.language.isoen
dc.publisherSpringer
dc.rightsCopyright 2023 Springer. This article is licensed under a Creative Commons Attribution 4.0 International License. (http://creativecommons.org/licenses/by/4.0/)
dc.source.urihttps://doi.org/10.1007/s00233-023-10392-9
dc.subjecteffective groupoid
dc.subjectlocal bisection hypothesis
dc.subjecttwisted groupoid C*-algebra
dc.titleThe local bisection hypothesis for twisted groupoid C*-algebras
dc.typeJournal article
pubs.publication-statusPublished
ror.fileinfo12276481420001831 13281250120001831 The local bisection hypothesis for twisted groupoid C_-algebras
ror.mmsid9916800103301831

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