A Dixmier-Douady theorem for Fell algebras

DOI10.1016/j.jfa.2010.11.011zbMath1251.46028arXiv1004.1787OpenAlexW1496788767MaRDI QIDQ629721

Astrid an Huef, Aidan Sims, Alexander Kumjian

Publication date: 9 March 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.1787

zbMATH Keywords

groupoidMorita equivalencesheaf cohomologyFell algebraextension propertycontinuous traceDixmier-Douady theorem

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05)

Related Items (11)

Reconstruction of groupoids and \(C^\ast \)-rigidity of dynamical systems ⋮ Commutativity of central sequence algebras ⋮ Cartan subalgebras in \(C^\ast\)-algebras of Hausdorff étale groupoids ⋮ Topological freeness for \(C^{\ast}\)-correspondences ⋮ \(K\)-theory and homotopies of 2-cocycles on group bundles ⋮ The local bisection hypothesis for twisted groupoid C*-algebras ⋮ Simplicity of twisted C*-algebras of Deaconu-Renault groupoids ⋮ Aperiodicity, topological freeness and pure outerness: from group actions to Fell bundles ⋮ The stable algebra of a Wieler solenoid: inductive limits and -theory ⋮ Opposite algebras of groupoid \(C^*\)-algebras ⋮ Fell algebras, groupoids, and projections

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