Groupoid algebras as Cuntz-Pimsner algebras

DOI10.7146/math.scand.a-25507zbMath1373.46051arXiv1402.7126OpenAlexW2964172174MaRDI QIDQ2970160

Adam Rennie, David Robertson, Aidan Sims

Publication date: 28 March 2017

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.7126

zbMATH Keywords

\(K\)-theory\(C^*\)-correspondenceCuntz-Pimsner algebragroupoidamenablegroupoid \(C^*\)-algebra

Mathematics Subject Classification ID

(C^*)-modules (46L08) (K)-theory and operator algebras (including cyclic theory) (46L80) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (4)

Purely infinite simple \(C^\ast\)-algebras that are principal groupoid \(C^\ast\)-algebras ⋮ Index theory and topological phases of aperiodic lattices ⋮ Groupoid algebras as Cuntz-Pimsner algebras ⋮ \(\mathbb{Z}\)-graded rings as Cuntz-Pimsner rings

Cites Work

• Unnamed Item
• Twisted \(C^*\)-algebras associated to finitely aligned higher-rank graphs
• On \(C^*\)-algebras associated with \(C^*\)-correspondences
• A groupoid approach to C*-algebras
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• Groupoid algebras as Cuntz-Pimsner algebras
• Groupoids and $C^*$-algebras for categories of paths
• The Toeplitz algebra of a Hilbert bimodule

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