Strongly outer actions of amenable groups on \(\mathcal{Z}\)-stable nuclear \(C^\ast\)-algebras

DOI10.1016/j.matpur.2022.04.003zbMath1496.46068arXiv2110.14387OpenAlexW4223988415MaRDI QIDQ2136293

Andrea Vaccaro, Ilan Hirshberg, Eusebio Gardella

Publication date: 10 May 2022

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.14387

zbMATH Keywords

amenabilitygroup actionJiang-Su algebraRokhlin dimensionstrong outernesstracial Rokhlin property

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Classifications of (C^*)-algebras (46L35) Automorphisms of selfadjoint operator algebras (46L40) Dynamical systems and the theory of (C^*)-algebras (37A55)

Related Items (8)

Equivariant \({\mathcal{Z}} \)-stability for single automorphisms on simple \(C^*\)-algebras with tractable trace simplices ⋮ Rokhlin-type properties of group actions on operator algebras ⋮ The radius of comparison of the crossed product by a weakly tracially strictly approximately inner action ⋮ Exotic circle actions on classifiable \(C^\ast\)-algebras ⋮ Equivariant Kirchberg-Phillips type absorption for the Razak-Jacelon algebra ⋮ Dynamical comparison and \(\mathcal{Z} \)-stability for crossed products of simple \(C^\ast \)-algebras ⋮ Actions of certain torsion-free elementary amenable groups on strongly self-absorbing \(\text{C}^\ast\)-algebras ⋮ Partial C*-dynamics and Rokhlin dimension

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