Free minimal actions of countable groups with invariant probability measures

DOI10.1017/etds.2020.11zbMath1469.46064arXiv1805.11149OpenAlexW3006767981WikidataQ114119403 ScholiaQ114119403MaRDI QIDQ5146580

Gábor Elek

Publication date: 26 January 2021

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.11149

zbMATH Keywords

invariant measuresfree minimal actionsuniformly recurrent subgroups

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55)

Related Items

Volume and macroscopic scalar curvature, Exotic ideals in free transformation group C∗$\mathbf {C}^*$‐algebras, Compact graphings, A note on minimal models for pmp actions, Minimal model-universal flows for locally compact Polish groups

Cites Work

• Free continuous actions on zero-dimensional spaces
• Borel structurability on the 2-shift of a countable group
• Borel chromatic numbers
• Uniformly recurrent subgroups and simple \(C^{\ast}\)-algebras
• Building large free subshifts using the Local Lemma
• Uniformly recurrent subgroups
• Hyperfinite actions on countable sets and probability measure spaces
• Minimal models for free actions
• Realizing uniformly recurrent subgroups
• Ergodic sets