Ring and module structures on dimension groups associated with a shift of finite type

DOI10.1017/S0143385712000272zbMath1278.37018arXiv1104.1154OpenAlexW2962842645MaRDI QIDQ3166357

D. Brady Killough, Ian F. Putnam

Publication date: 11 October 2012

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.1154

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) Symbolic dynamics (37B10) (K_0) as an ordered group, traces (19K14)

Related Items (6)

-ALGEBRAS ASSOCIATED WITH TWO-SIDED SUBSHIFTS ⋮ Automorphisms of the shift: Lyapunov exponents, entropy, and the dimension representation ⋮ Asymptotic Continuous Orbit Equivalence of Smale Spaces and Ruelle Algebras ⋮ \(C^*\)-algebras associated with asymptotic equivalence relations defined by hyperbolic toral automorphisms ⋮ Flow equivalence of topological Markov shifts and Ruelle algebras ⋮ Trace asymptotics for $C^{\ast }$-algebras from Smale spaces

Cites Work

• Unnamed Item
• Noncommutative algebras for hyperbolic diffeomorphisms
• On dimension functions and topological Markov chains
• A class of C*-algebras and topological Markov chains
• Free rank n+1 dense subgroups of \(R^ n\) and their endomorphisms
• The structure of \(C^*\)-algebras associated with hyperbolic dynamical systems
• Matrices of positive polynomials
• An Introduction to Symbolic Dynamics and Coding
• C*-Algebras from Smale Spaces
• Differentiable dynamical systems

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