Applications of the Gauge-invariant uniqueness theorem for graph algebras

DOI10.1017/S0004972700020670zbMath1022.46029MaRDI QIDQ3153721

Teresa Bates

Publication date: 28 November 2002

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

zbMATH Keywords

graph \(C^*\)-algebrasCuntz-Krieger algebras

Mathematics Subject Classification ID

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

Related Items

Singular equivalence of finite dimensional algebras with radical square zero ⋮ Relative Morita equivalence of Cuntz–Krieger algebras and flow equivalence of topological Markov shifts ⋮ The suspension of a graph, and associated \(C^{\ast}\)-algebras ⋮ SUBSETS OF VERTICES GIVE MORITA EQUIVALENCES OF LEAVITT PATH ALGEBRAS ⋮ The dynamics of Leavitt path algebras. ⋮ \(C^\ast\)-algebras and equivalences for \(C^\ast\)-correspondences ⋮ State splitting, strong shift equivalence and stable isomorphism of Cuntz–Krieger algebras ⋮ A dual graph construction for higher-rank graphs, and 𝐾-theory for finite 2-graphs ⋮ Generalised morphisms of 𝑘-graphs: 𝑘-morphs ⋮ Imprimitivity bimodules of Cuntz–Krieger algebras and strong shift equivalences of matrices ⋮ \(C^*\)-algebras and fell bundles associated to a textile system ⋮ Strong shift equivalence of \(C^*\)-correspondences ⋮ A gauge invariant uniqueness theorem for corners of higher rank graph algebras ⋮ On the gauge action of a Leavitt path algebra.

Cites Work

• Unnamed Item
• Graphs, groupoids, and Cuntz-Krieger 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
• Ideal structure and simplicity of the \(C^*\)-algebras generated by Hilbert bimodules
• Classification of Cuntz-Krieger algebras
• The ideal structure of Cuntz–Krieger algebras
• $C^*$-algebras of directed graphs and group actions

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