On the algebraic properties of the automorphism groups of countable-state Markov shifts

DOI10.1017/S0143385705000507zbMath1087.37011OpenAlexW2161650526MaRDI QIDQ5289903

Michael Schraudner

Publication date: 19 April 2006

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

Full work available at URL: https://doi.org/10.1017/s0143385705000507

zbMATH Keywords

periodic orbitsautomorphism groupssymbolic dynamicstransitive pointsRyan's theorem1-point-compactification of the shift spacetwo-sided, transitive, countable-state Markov shifts

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15) Automorphism groups of groups (20F28) Symbolic dynamics (37B10) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (4)

The mapping class group of a shift of finite type ⋮ 𝐶*-algebras of homoclinic and heteroclinic structure in expansive dynamics ⋮ Canonical compactifications for Markov shifts ⋮ The canonical-boundary representation for automorphism groups of locally compact countable state Markov shifts

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