Representations of finite groups and Cuntz-Krieger algebras

DOI10.1017/S0004972700011862zbMath0763.22002OpenAlexW2165787477MaRDI QIDQ3993949

Iain Raeburn, Colin E. Sutherland, M. H. Mann

Publication date: 13 August 1992

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700011862

zbMATH Keywords

\(K\)-theoryintertwining operatorscompact groupCuntz-Krieger algebrafinite-dimensional representationDoplicher-Roberts algebra

Mathematics Subject Classification ID

(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) Duality theorems for locally compact groups (22D35)

Related Items (21)

Cuntz-Pimsner algebras of group representations ⋮ Quantum Cuntz-Krieger algebras ⋮ -ALGEBRAS FROM GROUP REPRESENTATIONS ⋮ The Cuntz splice does not preserve \(\ast\)-isomorphism of Leavitt path algebras over \(\mathbb{Z}\) ⋮ Corners of Cuntz-Krieger algebras ⋮ C*-algebras from planar algebras I: Canonical C*-algebras associated to a planar algebra ⋮ TOPOLOGICAL QUIVERS ⋮ Subalgebras of infinite \(C^*\)-algebras with finite Watatani indices. II: Cuntz-Krieger algebras ⋮ A dual graph construction for higher-rank graphs, and 𝐾-theory for finite 2-graphs ⋮ Graphs, groupoids, and Cuntz-Krieger algebras ⋮ Finite group actions on \(C^*\)-algebras with the Rohlin property. I ⋮ Cuntz-Krieger algebras of infinite graphs and matrices ⋮ Purely infinite partial crossed products ⋮ Subgroup Correspondences ⋮ A family of 2-graphs arising from two-dimensional subshifts ⋮ On graph algebras from interval maps ⋮ Quasi-free actions of finite groups on the Cuntz algebra \(\mathcal{O}_\infty\) ⋮ Finite group actions on \(C^{*}\)-algebras with the Rohlin property. II ⋮ On the \(K\)-theory of Cuntz-Krieger algebras ⋮ Unifying interval maps and branching systems with applications to relative graph \(\mathrm{C}^\ast\)-algebras ⋮ \(C^\ast\) completions of Leavitt-path-algebra pullbacks

Cites Work

• Unnamed Item
• Endomorphisms of \(C^*\)-algebras, cross products and duality for compact groups
• Duals of compact Lie groups realized in the Cuntz algebras and their actions on \(C^ *\)-algebras
• A class of C*-algebras and topological Markov chains
• A class of C*-algebras and topological Markov chains II: Reducible chains and the Ext-functor for C*-algebras

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