Symbolic Extensions of Amenable Group Actions and the Comparison Property

DOI10.1090/memo/1390OpenAlexW4319990338MaRDI QIDQ5877453

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Publication date: 13 February 2023

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

Full work available at URL: https://arxiv.org/abs/1901.01457

zbMATH Keywords

amenable group actionresidually finite groupsymbolic extensionentropy structuresuperenvelopetiling systemcomparison propertysubexponential groupsymbolic extension entropyencodable tiling systemFølner system of quasitilings

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Symbolic dynamics (37B10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Means on groups, semigroups, etc.; amenable groups (43A07) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Tiling dynamics (37B52) Multidimensional shifts of finite type (37B51)

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