Group amenability and actions on \(\mathcal{Z} \)-stable C*-algebras
type: Item
instance of: scholarly article
title: Group amenability and actions on \(\mathcal{Z} \)-stable C*-algebras
zbMATH Open document ID: 1482.46083
author: Eusebio Gardella
author: Martino Lupini
published in: Advances in Mathematics
publication date: 2021-08-23T00:00:00Z
Mathematics Subject Classification ID: 46L55
Mathematics Subject Classification ID: 54H05
Mathematics Subject Classification ID: 03E15
Mathematics Subject Classification ID: 37A55
zbMATH DE Number: 7384234
zbMATH Keywords: amenable group
zbMATH Keywords: free group
zbMATH Keywords: Bernoulli shift
zbMATH Keywords: GNS construction
zbMATH Keywords: weak containment
zbMATH Keywords: cocycle equivalence
zbMATH Keywords: Jiang-Su algebra
zbMATH Keywords: hyperfinite \(\mathrm{II}_1\) factor
MaRDI profile type: Publication
full work available at URL: j.aim.2021.107931
OpenAlex ID: W3184860072
cites work: Amenable unitary representations of locally compact groups
cites work: Q3602612
cites work: The Rohlin Property For Quasi-Free Automorphisms of the Fermion Algebra
cites work: Families of hyperfinite subfactors with the same standard invariant and prescribed fundamental group
cites work: Q4161729
cites work: On the $KK$-theory of strongly self-absorbing $C^{*}$-algebras
cites work: Covering Dimension of C*-Algebras and 2-Coloured Classification
cites work: A measurable-group-theoretic solution to von Neumann's problem
cites work: An uncountable family of nonorbit equivalent actions of 𝔽_{𝕟}
cites work: Rokhlin dimension for compact group actions
cites work: Compact group actions with the Rokhlin property
cites work: Model theory and Rokhlin dimension for compact quantum group actions
cites work: On the classification problem of free ergodic actions of nonamenable groups
cites work: Actions of rigid groups on UHF-algebras
cites work: Applications of model theory to \(C^*\)-dynamics
cites work: Equivariant \(\ast\)-homomorphisms, Rokhlin constraints and equivariant UHF-absorption
cites work: Rokhlin dimension: duality, tracial properties, and crossed products
cites work: Rokhlin actions and self-absorbing \(C^\ast\)-algebras
cites work: Orbit inequivalent actions for groups containing a copy of \(\mathbb{F}_{2}\)
cites work: Actions of finite groups on the hyperfinite type 𝐼𝐼₁ factor
cites work: Q3338783
cites work: Amenable actions and almost invariant sets
cites work: Q3407797
cites work: Asymptotic Abelianness, weak mixing, and property T
cites work: The Rohlin property for automorphisms of UHF algebras
cites work: \(\mathcal{Z}\)-stability of crossed products by strongly outer actions
cites work: Q4218536
cites work: Tensor products of compact convex stes
cites work: Action of discrete amenable groups on von Neumann algebras
cites work: Bernoulli shifts with the same entropy are isomorphic
cites work: Q4787522
cites work: Some rigidity results for non-commutative Bernoulli shifts
cites work: Strong rigidity of generalized Bernoulli actions and computations of their symmetry groups
cites work: Strongly self-absorbing 𝐶*-dynamical systems
cites work: Strongly self-absorbing \(C^{\ast}\)-dynamical systems. III.
cites work: Strongly self-absorbing $C^{*}$-algebras
cites work: Strongly self-absorbing \(C^{\ast}\)-algebras are \(\mathcal{Z}\)-stable
DOI: 10.1016/J.AIM.2021.107931
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description: scientific article; zbMATH DE number 7384234