Amenable groups, mean topological dimension and subshifts

DOI10.1007/s10711-006-9071-2zbMath1112.37007OpenAlexW1520570788MaRDI QIDQ881908

Fabrice Krieger

Publication date: 18 May 2007

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-006-9071-2

zbMATH Keywords

amenable groupsubshiftJaworski theoremmean topological dimensionminimal dynamical system

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Geometric group theory (20F65) 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 (8)

Mean dimension, mean rank, and von Neumann-Lück rank ⋮ Variational principles for amenable metric mean dimensions ⋮ Sofic mean dimension ⋮ Minimal subshifts of arbitrary mean topological dimension ⋮ Minimal systems of arbitrary large mean topological dimension ⋮ Amenable upper mean dimensions ⋮ Weighted upper metric mean dimension for amenable group actions ⋮ Sofic mean length

Cites Work

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• Mean topological dimension
• Topological invariants of dynamical systems and spaces of holomorphic maps. I.
• A proof of Beboutov's theorem
• Mean topological dimension for actions of discrete amenable groups
• On groups with full Banach mean value

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