Bi-exact groups, strongly ergodic actions and group measure space type III factors with no central sequence
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Publication:728488
DOI10.1007/s00220-016-2634-7zbMath1367.46049arXiv1510.07987OpenAlexW3103688758MaRDI QIDQ728488
Publication date: 20 December 2016
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.07987
General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) Classification of factors (46L36)
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Cites Work
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- A characterization of the fullness of continuous cores of type \(\mathrm{III}_{1}\) free product factors
- Unique prime factorization and bicentralizer problem for a class of type III factors
- Type III factors with unique Cartan decomposition
- Asymptotic structure of free Araki-Woods factors
- Von Neumann algebras of equivalence relations with nontrivial one-cohomology
- \(L^{2}\)-rigidity in von Neumann algebras
- Measure equivalence rigidity and bi-exactness of groups
- Action of discrete amenable groups on von Neumann algebras
- Une notion de nucléarité en K-théorie (d'après J. Cuntz). (A notion of nuclearity in K-theory (in the sense of J. Cuntz))
- On a tensor product \(C^*\)-algebra associated with the free group on two generators
- Almost periodic states and factors of type III\(_1\)
- Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
- Homogeneity of the state space of factors of type \(III_1\)
- Free quasi-free states
- Solid von Neumann algebras.
- Weak exactness for \(C^\ast\)-algebras and application to condition (AO)
- Unique Cartan decomposition for \(\mathrm{II}_1\) factors arising from arbitrary actions of free groups
- Local spectral gap in simple Lie groups and applications
- The boundary of universal discrete quantum groups, exactness, and factoriality
- 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
- Ultraproducts of von Neumann algebras
- Equivalence of normal states on von Neumann algebras and the flow of weights
- On rings of operators. IV
- Classification and rigidity for von Neumann algebras
- On the superrigidity of malleable actions with spectral gap
- Orbit Equivalence and Measured Group Theory
- Rigidity for von Neumann algebras and their invariants
- Fullness, Connes’ $\chi $-groups, and ultra-products of amalgamated free products over Cartan subalgebras
- Inner Amenability and Fullness
- A 𝐼𝐼₁ factor with two nonconjugate Cartan subalgebras
- Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. I
- Pointwise ergodic theorems beyond amenable groups
- Une classification des facteurs de type ${\rm III}$
- Cartan subalgebras of amalgamated free product II$_1$ factors
- On Bi-exactness of Discrete Quantum Groups
- Rigidity of free product von Neumann algebras
- On Ozawa's Property for Free Group Factors
- A Kurosh-type theorem for type II1 factors
