Group amenability and actions on \(\mathcal{Z} \)-stable C*-algebras
DOI10.1016/J.AIM.2021.107931zbMath1482.46083OpenAlexW3184860072MaRDI QIDQ2048637
Eusebio Gardella, Martino Lupini
Publication date: 23 August 2021
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aim.2021.107931
free groupamenable groupBernoulli shiftGNS constructionJiang-Su algebraweak containmentcocycle equivalencehyperfinite \(\mathrm{II}_1\) factor
Descriptive set theory (03E15) Noncommutative dynamical systems (46L55) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Dynamical systems and the theory of (C^*)-algebras (37A55)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(\mathcal{Z}\)-stability of crossed products by strongly outer actions
- Strongly self-absorbing \(C^{\ast}\)-algebras are \(\mathcal{Z}\)-stable
- Orbit inequivalent actions for groups containing a copy of \(\mathbb{F}_{2}\)
- Some rigidity results for non-commutative Bernoulli shifts
- A measurable-group-theoretic solution to von Neumann's problem
- Families of hyperfinite subfactors with the same standard invariant and prescribed fundamental group
- Amenable unitary representations of locally compact groups
- Rokhlin actions and self-absorbing \(C^\ast\)-algebras
- Action of discrete amenable groups on von Neumann algebras
- Applications of model theory to \(C^*\)-dynamics
- On the classification problem of free ergodic actions of nonamenable groups
- Actions of rigid groups on UHF-algebras
- Strongly self-absorbing \(C^{\ast}\)-dynamical systems. III.
- Model theory and Rokhlin dimension for compact quantum group actions
- Strong rigidity of generalized Bernoulli actions and computations of their symmetry groups
- Tensor products of compact convex stes
- Bernoulli shifts with the same entropy are isomorphic
- Strongly self-absorbing $C^{*}$-algebras
- Asymptotic Abelianness, weak mixing, and property T
- On the $KK$-theory of strongly self-absorbing $C^{*}$-algebras
- Actions of finite groups on the hyperfinite type 𝐼𝐼₁ factor
- Strongly self-absorbing 𝐶*-dynamical systems
- Compact group actions with the Rokhlin property
- An uncountable family of nonorbit equivalent actions of 𝔽_{𝕟}
- The Rohlin property for automorphisms of UHF algebras
- The Rohlin Property For Quasi-Free Automorphisms of the Fermion Algebra
- Rokhlin dimension: duality, tracial properties, and crossed products
- Rokhlin dimension for compact group actions
- Covering Dimension of C*-Algebras and 2-Coloured Classification
- Amenable actions and almost invariant sets
- Equivariant \(\ast\)-homomorphisms, Rokhlin constraints and equivariant UHF-absorption
This page was built for publication: Group amenability and actions on \(\mathcal{Z} \)-stable C*-algebras
