CUNTZ–KRIEGER ALGEBRAS AND ONE-SIDED CONJUGACY OF SHIFTS OF FINITE TYPE AND THEIR GROUPOIDS

DOI10.1017/S1446788719000168zbMath1467.46067arXiv1712.00179OpenAlexW3105013881WikidataQ127656450 ScholiaQ127656450MaRDI QIDQ5140654

Kevin Aguyar Brix, Toke Meier Carlsen

Publication date: 16 December 2020

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

Full work available at URL: https://arxiv.org/abs/1712.00179

zbMATH Keywords

groupoidsCuntz-Krieger algebrasshifts of finite type

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Symbolic dynamics (37B10) Dynamical systems and the theory of (C^*)-algebras (37A55)

Related Items (10)

On one-sided topological conjugacy of topological Markov shifts and gauge actions on Cuntz–Krieger algebras ⋮ Simple purely infinite \(C^\ast\)-algebras associated with normal subshifts ⋮ One-sided topological conjugacy of topological Markov shifts, continuous full groups and Cuntz–Krieger algebras ⋮ A correspondence between surjective local homeomorphisms and a family of separated graphs ⋮ Conjugacy of local homeomorphisms via groupoids and C*-algebras ⋮ 𝐶*-algebras, groupoids and covers of shift spaces ⋮ State splitting, strong shift equivalence and stable isomorphism of Cuntz–Krieger algebras ⋮ Balanced strong shift equivalence, balanced in-splits, and eventual conjugacy ⋮ Cohomology groups, continuous full groups and continuous orbit equivalence of topological Markov shifts ⋮ One-sided topological conjugacy of normal subshifts and gauge actions on the associatedC*-algebras

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• An Introduction to Symbolic Dynamics and Coding

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