-ALGEBRAS ASSOCIATED WITH LAMBDA-SYNCHRONIZING SUBSHIFTS AND FLOW EQUIVALENCE

DOI10.1017/S1446788713000219zbMath1303.46047arXiv1105.3250MaRDI QIDQ2873594

Kengo Matsumoto

Publication date: 24 January 2014

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

Full work available at URL: https://arxiv.org/abs/1105.3250

zbMATH Keywords

Bowen-Franks groupsflow equivalencesubshifts\(K\)-groups\(\lambda\)-graph systems\({C}^{\ast}\)-algebras\(\lambda\)-synchronization

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Classifications of (C^*)-algebras (46L35) Symbolic dynamics (37B10)

Related Items (4)

Flow equivalence of sofic shifts ⋮ A certain synchronizing property of subshifts and flow equivalence ⋮ Simple purely infinite \(C^\ast\)-algebras associated with normal subshifts ⋮ One-sided topological conjugacy of normal subshifts and gauge actions on the associatedC*-algebras

Cites Work

• A simple purely infinite \(C^*\)-algebra associated with a lambda-graph system of the Motzkin shift
• On sofic systems. I
• Systèmes codés. (Coded systems)
• On sofic systems. II
• The Künneth theorem and the universal coefficient theorem for Kasparov's generalized K-functor
• A class of C*-algebras and topological Markov chains
• Sofic systems and graphs
• A topological invariant of flows on 1-dimensional spaces
• Stable isomorphism of hereditary subalgebras of \(C^*\)-algebras
• Homology for zero-dimensional nonwandering sets
• Simple \(C^*\)-algebras generated by isometries
• Reducibility of covers of AFT shifts
• Subshifts of finite type and sofic systems
• $C^*$-algebras arising from Dyck systems of topological Markov chains
• Flow equivalence of subshifts of finite type
• On the uniqueness of the equilibrium state
• Simple ${\bi C}^*$-algebras arising from ${\beta}$-expansion of real numbers
• On C*-Algebras Associated with Subshifts
• Strong shift equivalence of symbolic dynamical systems and Morita equivalence of C *-algebras
• Some remarks on the $C^*$-algebras associated with subshifts
• An Introduction to Symbolic Dynamics and Coding
• ON SUBSHIFTS AND SEMIGROUPS
• Construction and pure infiniteness of $C^*$-algebras associated with lambda-graph systems
• Bowen-Franks groups for subshifts and Ext-groups for \(C^*\)-algebras

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