Rigidity for von Neumann algebras given by locally compact groups and their crossed products
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Publication:1663622
DOI10.1007/s00220-018-3091-2zbMath1403.46053arXiv1703.09092OpenAlexW3102254380MaRDI QIDQ1663622
Arnaud Brothier, Tobe Deprez, Stefaan Vaes
Publication date: 21 August 2018
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.09092
Related Items (6)
Unitary conjugacy for type III subfactors and \(W^\ast\)-superrigidity ⋮ Superrigidity for dense subgroups of Lie groups and their actions on homogeneous spaces ⋮ The approximation property and exactness of locally compact groups ⋮ Measure equivalence for non-unimodular groups ⋮ Ozawa's class𝒮for locally compact groups and unique prime factorization of group von Neumann algebras ⋮ New examples of \({W}^\ast\) and \({C}^\ast \)-superrigid groups
Cites Work
- Unnamed Item
- Unnamed Item
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- Unique prime factorization and bicentralizer problem for a class of type III factors
- Type III factors with unique Cartan decomposition
- Examples of groups which are not weakly amenable
- Structure of modular invariant subalgebras in free Araki-Woods factors
- Exactness of locally compact groups
- \(C^*\)-simplicity of locally compact Powers groups
- Unique Cartan decomposition for \(\mathrm{II}_1\) factors
- Amenable hyperbolic groups
- Weak amenability of hyperbolic groups
- On a class of II\(_1\) factors with at most one Cartan subalgebra
- Measure equivalence rigidity and bi-exactness of groups
- Une notion de nucléarité en K-théorie (d'après J. Cuntz). (A notion of nuclearity in K-theory (in the sense of J. Cuntz))
- Groups acting on trees and approximation properties of the Fourier algebra
- Extensions of ergodic group actions
- An example of a non nuclear C*-algebra, which has the metric approximation property
- Non-semi-regular quantum groups coming from number theory
- Amenability versus non amenability: an introduction to von Neumann algebras
- Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one
- On the virtual groups defined by ergodic actions of R\(^n\) and \(Z^n\)
- Theory of operator algebras. II
- Solid von Neumann algebras.
- Ideal bicombings for hyperbolic groups and applications.
- One-cohomology and the uniqueness of the group measure space decomposition of a II\(_{1}\) factor
- Orbit equivalence rigidity
- Unique Cartan decomposition for \(\mathrm{II}_1\) factors arising from arbitrary actions of free groups
- The boundary of universal discrete quantum groups, exactness, and factoriality
- Cocycle superrigidity and bounded cohomology for negatively curved spaces
- Strong rigidity of \(\text{II}_1\) factors arising from malleable actions of \(w\)-rigid groups. I
- On a class of type \(\text{II}_1\) factors with Betti numbers invariants
- Cocycle and orbit superrigidity for lattices in SL(n,R) acting on homogeneous spaces
- Classification and rigidity for von Neumann algebras
- Rigidity for von Neumann algebras and their invariants
- Unitaires multiplicatifs et dualité pour les produits croisés de $\mathrm{C}^*$-algèbres
- Action moyennable d'un groupe localement compact sur une algèbre de von Neumann II.
- On the structural theory of $\rm II_1$ factors of negatively curved groups
- Baumslag-Solitar groups, relative profinite completions and measure equivalence rigidity
- 𝐿²-Betti numbers of locally compact groups and their cross section equivalence relations
- Asymptotic structure of free product von Neumann algebras
- A Kurosh-type theorem for type II1 factors
- The unitary implementation of a locally compact quantum group action
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