Orbit equivalence of Cantor minimal systems: a survey and a new proof

DOI10.1016/j.exmath.2009.06.002zbMath1231.37006OpenAlexW2051512817MaRDI QIDQ967468

Ian F. Putnam

Publication date: 29 April 2010

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2009.06.002

zbMATH Keywords

classificationdimension groupsminimal AF-equivalence

Mathematics Subject Classification ID

Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) (K_0) as an ordered group, traces (19K14)

Related Items

Dynamics in dimension zero A survey ⋮ From invariant measures to orbit equivalence, via locally finite groups ⋮ Invariant measures for Cantor dynamical systems ⋮ Topological orbit equivalence classes and numeration scales of logistic maps ⋮ Universally measure-preserving homeomorphisms of Cantor minimal systems ⋮ Exact number of ergodic invariant measures for Bratteli diagrams

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