Mean topological dimension for actions of discrete amenable groups

DOI10.3934/dcds.2005.13.779zbMath1086.37003OpenAlexW2017420822MaRDI QIDQ2569361

Fabrice Krieger, Michel Coornaert

Publication date: 18 October 2005

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2005.13.779

zbMATH Keywords

amenable groupmean topological dimensionsubshift of block type

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Residual properties and generalizations; residually finite groups (20E26) 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)

Related Items (14)

Entropy dimension of shifts of finite type on free groups ⋮ Mean dimension, mean rank, and von Neumann-Lück rank ⋮ Radius of comparison and mean cohomological independence dimension ⋮ Amenable groups, mean topological dimension and subshifts ⋮ Variational principles for amenable metric mean dimensions ⋮ Sofic mean dimension ⋮ Minimal subshifts of arbitrary mean topological dimension ⋮ An analogue of Fekete's lemma for subadditive functions on cancellative amenable semigroups ⋮ Mean dimension and an embedding problem: an example ⋮ Minimal systems of arbitrary large mean topological dimension ⋮ Amenable upper mean dimensions ⋮ Weighted upper metric mean dimension for amenable group actions ⋮ Sofic mean length ⋮ Mean topological dimension for random bundle transformations

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