Følner tilings for actions of amenable groups

DOI10.1007/s00208-017-1633-0zbMath1415.37007arXiv1704.00699OpenAlexW3103052400MaRDI QIDQ1751041

Robin D. Tucker-Drob, Steve C. Jackson, Clinton T. Conley, Brandon Seward, David Kerr, Andrew S. Marks

Publication date: 23 May 2018

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.00699

zbMATH Keywords

Cantor setamenable groupDownarowicz-Huczek-Zhang tiling theoremprobability-preserving action

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Ergodic theory on groups (22D40) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (15)

Measurable Hall's theorem for actions of abelian groups ⋮ Strongly outer actions of amenable groups on \(\mathcal{Z}\)-stable nuclear \(C^\ast\)-algebras ⋮ Polynomial growth, comparison, and the small boundary property ⋮ Nuclear dimension of simple stably projectionless \(C^\ast\)-algebras ⋮ Commentary on “Ergodic theory of amenable group actions”: Old and new ⋮ Nuclear dimension of simple \(\mathrm{C}^*\)-algebras ⋮ Measurable graph combinatorics ⋮ \(\mathrm{C}^\ast\)-algebras. Abstracts from the workshop held August 7--13, 2022 ⋮ Amenable wreath products with non almost finite actions of mean dimension zero ⋮ Borel asymptotic dimension and hyperfinite equivalence relations ⋮ On embeddings of extensions of almost finite actions into cubical shifts ⋮ Groups and dynamics: topology, measure, and Borel structure. Abstracts from the workshop held January 16--22, 2022 ⋮ Dimension, comparison, and almost finiteness ⋮ Almost finiteness and the small boundary property ⋮ A generalized type semigroup and dynamical comparison

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