Some applications of group-theoretic Rips constructions to the classification of von Neumann algebras
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Publication:6110441
DOI10.2140/apde.2023.16.433zbMath1526.46039arXiv1911.11729OpenAlexW4376122247MaRDI QIDQ6110441
Krishnendu Khan, Sayan Kumar Das, Ionut Chifan
Publication date: 6 July 2023
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.11729
Geometric group theory (20F65) General theory of von Neumann algebras (46L10) Hyperbolic groups and nonpositively curved groups (20F67) Cancellation theory of groups; application of van Kampen diagrams (20F06) Classification of factors (46L36) Kazhdan's property (T), the Haagerup property, and generalizations (22D55)
Related Items (3)
Quasinormalizers in crossed products of von Neumann algebras ⋮ \(W^\ast\) and \(C^\ast \)-superrigidity results for coinduced groups ⋮ New examples of \({W}^\ast\) and \({C}^\ast \)-superrigid groups
Cites Work
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- \(W^*\)-rigidity for the von Neumann algebras of products of hyperbolic groups
- A class of superrigid group von Neumann algebras
- Normalizers inside amalgamated free product von Neumann algebras
- Maximal amenable subalgebras of von Neumann algebras associated with hyperbolic groups
- Unique Cartan decomposition for \(\mathrm{II}_1\) factors
- Maximal injective subalgebras in factors associated with free groups
- Maximal injective subalgebras of tensor products of free group factors
- Maximal amenable von Neumann subalgebras arising from maximal amenable subgroups
- Amalgamated free products of weakly rigid factors and calculation of their symmetry groups
- Small cancellations over relatively hyperbolic groups and embedding theorems.
- On a class of II\(_1\) factors with at most one Cartan subalgebra
- Lacunary hyperbolic groups. With an appendix by Michael Kapovich and Bruce Kleiner.
- Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
- A Galois correspondence in a von Neumann algebra
- On ``Problems on von Neumann algebras by R. Kadison, 1967
- Tensor product decompositions of \(\mathrm{II}_1\) factors arising from extensions of amalgamated free product groups
- Amalgamated free product rigidity for group von Neumann algebras
- Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one
- Some prime factorization results for type II\(_1\) factors
- One-cohomology and the uniqueness of the group measure space decomposition of a II\(_{1}\) factor
- Prime \(\mathrm{II}_1\) factors arising from irreducible lattices in products of rank one simple Lie groups
- Complete descriptions of intermediate operator algebras by intermediate extensions of dynamical systems
- Rigidity results for von Neumann algebras arising from mixing extensions of profinite actions of groups on probability spaces
- Some rigidity results for \(II_1\) factors arising from wreath products of property (T) groups
- \(\mathrm{W}^\ast\)-superrigidity for arbitrary actions of central quotients of braid groups
- A class of \(\mathrm{II}_1\) factors with exactly two group measure space decompositions
- The SQ-universality and residual properties of relatively hyperbolic groups.
- Strong rigidity of generalized Bernoulli actions and computations of their symmetry groups
- Rips construction and Kazhdan property (T).
- Strong rigidity of \(\text{II}_1\) factors arising from malleable actions of \(w\)-rigid groups. I
- Strong rigidity of \(\text{II}_1\) factors arising from malleable actions of \(w\)-rigid groups. II
- On a class of type \(\text{II}_1\) factors with Betti numbers invariants
- On rings of operators. IV
- Universal construction of subfactors
- Classification and rigidity for von Neumann algebras
- The radial masa in a free group factor is maximal injective
- On a question of D. Shlyakhtenko
- Rigidity for von Neumann algebras and their invariants
- W*–superrigidity for Bernoulli actions of property (T) groups
- ON FUNDAMENTAL GROUPS OF TENSOR PRODUCT FACTORS
- Kazhdan groups with infinite outer automorphism group
- Property T for von Neumann Algebras
- OEandW* superrigidity results for actions by surface braid groups
- Factors of type II₁ without non-trivial finite index subfactors
- Subgroups of small Cancellation Groups
- Discrete Subgroups Isomorphic to Lattices in Semisimple Lie Groups
- ON RESIDUALING HOMOMORPHISMS AND G-SUBGROUPS OF HYPERBOLIC GROUPS
- Primeness Results for von Neumann Algebras Associated with Surface Braid Groups
- An angle between intermediate subfactors and its rigidity
- A remark on the ultrapower algebra of the hyperfinite factor
- W*-superrigidity for group von Neumann algebras of left-right wreath products
- RIGIDITY FOR VON NEUMANN ALGEBRAS
- W*-superrigidity for wreath products with groups having positive first ℓ2-Betti number
- Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces
- A class of ${II_1}$ factors with an exotic abelian maximal amenable subalgebra
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