Uniqueness of the group measure space decomposition for Popa's \({\mathcal{HT}}\) factors
type: Item
instance of: scholarly article
title: Uniqueness of the group measure space decomposition for Popa's \({\mathcal{HT}}\) factors
zbMATH Open document ID: 1262.46043
author: Adrian Ioana
published in: Geometric and Functional Analysis. GAFA
publication date: 2013-02-04T00:00:00Z
Mathematics Subject Classification ID: 46L36
Mathematics Subject Classification ID: 28D15
Mathematics Subject Classification ID: 37A20
zbMATH DE Number: 6134382
zbMATH Keywords: free ergodic rigid
zbMATH Keywords: group action
zbMATH Keywords: II\(_{1}\) factor
zbMATH Keywords: group measure space Cartan subalgebra
MaRDI profile type: Publication
full work available at URL: s00039-012-0178-3
OpenAlex ID: W1981786150
cites work: Q5453545
cites work: Group cohomology, harmonic functions and the first \(L^ 2\)-Betti number
cites work: An amenable equivalence relation is generated by a single transformation
cites work: \(L_ 2\)-cohomology and group cohomology
cites work: Ergodic subequivalence relations induced by a Bernoulli action
cites work: Some unique group-measure space decomposition results
cites work: On the structural theory of $\rm II_1$ factors of negatively curved groups
cites work: Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. II
cites work: HNN extensions and unique group measure space decomposition of II$_{1}$ factors
cites work: A survey of measured group theory
cites work: \(\ell^2\) invariants of equivalence relations and groups
cites work: Free product actions with relative property (T) and trivial outer automorphism groups
cites work: Orbit Equivalence and Measured Group Theory
cites work: A class of groups for which every action is W\(^\ast\)-superrigid
cites work: Subequivalence relations and positive-definite functions
cites work: Orbit inequivalent actions for groups containing a copy of \(\mathbb{F}_{2}\)
cites work: Relative property (T) for the subequivalence relations induced by the action of SL\(_2(\mathbb Z)\) on \(\mathbb T^2\)
cites work: W*–superrigidity for Bernoulli actions of property (T) groups
cites work: A class of superrigid group von Neumann algebras
cites work: Rigidity for equivalence relations on homogeneous spaces
cites work: On Everywhere Dense Imbedding of Free Groups in Lie Groups
cites work: Orbit equivalence rigidity and bounded cohomology
cites work: On rings of operators
cites work: An example of a solid von Neumann algebra
cites work: On a class of II\(_1\) factors with at most one Cartan subalgebra
cites work: On a class of II1 factors with at most one Cartan subalgebra, II
cites work: \(L^{2}\)-rigidity in von Neumann algebras
cites work: Group cocycles and the ring of affiliated operators
cites work: Entropy and index for subfactors
cites work: On a class of type \(\text{II}_1\) factors with Betti numbers invariants
cites work: Strong rigidity of \(\text{II}_1\) factors arising from malleable actions of \(w\)-rigid groups. I
cites work: SOME COMPUTATIONS OF 1-COHOMOLOGY GROUPS AND CONSTRUCTION OF NON-ORBIT-EQUIVALENT ACTIONS
cites work: Cocycle and orbit equivalence superrigidity for malleable actions of \(w\)-rigid groups
cites work: On the superrigidity of malleable actions with spectral gap
cites work: On Ozawa's Property for Free Group Factors
cites work: Q5421710
cites work: Group measure space decomposition of \(\text{II}_{1}\) factors and \(\text W^{*}\)-superrigidity
cites work: Unique Cartan decomposition for \(\mathrm{II}_1\) factors arising from arbitrary actions of free groups
cites work: Automorphisms of Finite Factors
cites work: Strong solidity of group factors from lattices in SO(\(n,1\)) and SU(\(n,1\))
cites work: Explicit computations of all finite index bimodules for a family of II$_1$ factors
cites work: Rigidity for von Neumann algebras and their invariants
cites work: One-cohomology and the uniqueness of the group measure space decomposition of a II\(_{1}\) factor
DOI: 10.1007/S00039-012-0178-3
description: scientific article; zbMATH DE number 6134382