A class of II\(_{1}\) factors with many non conjugate Cartan subalgebras
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Publication:456802
DOI10.1016/j.aim.2012.07.004zbMath1266.46048arXiv1107.1356OpenAlexW2963834563MaRDI QIDQ456802
Publication date: 16 October 2012
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1107.1356
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Cites Work
- Unnamed Item
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- A class of superrigid group von Neumann algebras
- Some unique group-measure space decomposition results
- A class of groups for which every action is W\(^\ast\)-superrigid
- Group measure space decomposition of \(\text{II}_{1}\) factors and \(\text W^{*}\)-superrigidity
- The isomorphism problem for torsion-free abelian groups is analytic complete
- On a class of II\(_1\) factors with at most one Cartan subalgebra
- Point spectrum of ergodic Abelian group actions and the corresponding group-measure factors
- Perturbations of subalgebras of type II\(_1\) factors
- One-cohomology and the uniqueness of the group measure space decomposition of a II\(_{1}\) factor
- Uniqueness of the group measure space decomposition for Popa's \({\mathcal{HT}}\) factors
- Cocycle and orbit equivalence superrigidity for malleable actions of \(w\)-rigid groups
- Rigidity results for wreath product \(\mathrm{II}_1\) factors
- Strong rigidity of generalized Bernoulli actions and computations of their symmetry groups
- 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
- The Borel space of von Neumann algebras on a separable Hilbert space
- Proper actions of wreath products and generalizations
- Cocycle and orbit superrigidity for lattices in SL(n,R) acting on homogeneous spaces
- On the superrigidity of malleable actions with spectral gap
- Orbit Equivalence and Measured Group Theory
- Rigidity for von Neumann algebras and their invariants
- On a class of II<sub xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub> factors with at most one Cartan subalgebra, II
- An amenable equivalence relation is generated by a single transformation
- A 𝐼𝐼₁ factor with two nonconjugate Cartan subalgebras
- Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. I
- The isomorphism relation on countable torsion free abelian groups
- On the structural theory of $\rm II_1$ factors of negatively curved groups
- HNN extensions and unique group measure space decomposition of II$_{1}$ factors
- On Ozawa's Property for Free Group Factors
- Global Structure in Von Neumann Algebras
- Automorphisms of Finite Factors
