Amenable purely infinite actions on the non-compact Cantor set

DOI10.1017/ETDS.2018.121zbMath1454.46062arXiv1803.01917OpenAlexW2963444934MaRDI QIDQ5110229

Gábor Elek

Publication date: 18 May 2020

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

Full work available at URL: https://arxiv.org/abs/1803.01917

zbMATH Keywords

topological amenabilityminimal actionsnon-compact Cantor setpurely infinite actions

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55)

Cites Work

• Dynamic asymptotic dimension: relation to dynamics, topology, coarse geometry, and \(C^\ast\)-algebras
• Every graph with a positive Cheeger constant contains a tree with a positive Cheeger constant
• Uniformly recurrent subgroups and simple \(C^{\ast}\)-algebras
• Universal properties of group actions on locally compact spaces
• Non-supramenable groups acting on locally compact spaces
• On simplicity concepts for ergodic actions
• Uniformly recurrent subgroups
• Purely infinite C^*-algebras arising from crossed products
• Amenability and exactness for dynamical systems and their 𝐶*-algebras
• Geometric Group Theory
• Automaticity, goals, and environmental interactions.

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