Imprimitivity bimodules of Cuntz–Krieger algebras and strong shift equivalences of matrices

DOI10.1080/14689367.2017.1351922zbMath1477.46060arXiv1608.04859OpenAlexW2543881741MaRDI QIDQ4641467

Kengo Matsumoto

Publication date: 28 May 2018

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.04859

zbMATH Keywords

topological Markov shiftsHilbert \(C^\ast\)-moduleCuntz-Krieger algebraimprimitivity bimodulestrong shift equivalence of matrices

Mathematics Subject Classification ID

(C^*)-modules (46L08) Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05) Symbolic dynamics (37B10)

Cites Work

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• Continuous orbit equivalence, flow equivalence of Markov shifts and circle actions on Cuntz-Krieger algebras
• Strong shift equivalence of \(C^*\)-correspondences
• 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
• Morita equivalence for C\(^*\)-algebras and W\(^*\)-algebras
• Stable isomorphism of hereditary subalgebras of \(C^*\)-algebras
• Stable isomorphism and strong Morita equivalence of \(C^*\)-algebras
• Ideal structure and simplicity of the \(C^*\)-algebras generated by Hilbert bimodules
• An equivariant Brauer group and actions of groups on \(C^*\)-algebras
• Symbolic dynamics. One-sided, two-sided and countable state Markov shifts
• Topological conjugacy of topological Markov shifts and Cuntz-Krieger algebras
• Classification of subshifts of finite type
• Induced representations of C\(^*\)-algebras
• Classification of Cuntz-Krieger algebras
• Diagonal-preserving gauge-invariant isomorphisms of graph \(C^{\ast}\)-algebras
• \(C^\ast\)-algebras and equivalences for \(C^\ast\)-correspondences
• Applications of the Gauge-invariant uniqueness theorem for graph algebras
• Index for 𝐶*-subalgebras
• Crossed Products and Morita Equivalence
• Strong shift equivalence of symbolic dynamical systems and Morita equivalence of C *-algebras
• Jones index theory by Hilbert C*-bimodules and K-theory
• State splitting, strong shift equivalence and stable isomorphism of Cuntz–Krieger algebras
• Flow equivalence of graph algebras
• An Introduction to Symbolic Dynamics and Coding
• Inner Product Modules Over B ∗ -Algebras

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