Principal groupoid $C^*$-algebras with bounded trace

DOI10.1090/S0002-9939-07-09035-1zbMath1135.46034arXivmath/0611251OpenAlexW2028496336WikidataQ123777473 ScholiaQ123777473MaRDI QIDQ5431672

Lisa Orloff Clark, Astrid an Huef

Publication date: 20 December 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611251

zbMATH Keywords

\(C^*\)-algebralocally compact groupoidbounded trace

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05)

Related Items (3)

The representation theory of C*-algebras associated to groupoids ⋮ Strength of convergence in the orbit space of a groupoid ⋮ The orbit spaces of groupoids whose \(C^{\ast}\)-algebras are CCR

Cites Work

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• A groupoid approach to C*-algebras
• \(C^*\)-algebras of transformation groups with smooth orbit space
• Integrable and proper actions on \(C^*\)-algebras, and square-integrable representations of groups
• Bounded trace \(C^*\)-algebras and integrable actions
• Strength of convergence in the orbit space of a transformation group
• The Mackey-Glimm dichotomy for foliations and other Polish groupoids
• Continous trace groupoid $C^*$-algebras.
• Transition probabilities and trace functions for $C^*$-algebras.
• Integrable actions and transformation groups whose C*-algebras have bounded trace

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