Measure equivalence rigidity via s-malleable deformations

DOI10.1112/s0010437x2300739xarXiv2209.13320OpenAlexW4385809832MaRDI QIDQ6093294

Publication date: 6 September 2023

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.13320

zbMATH Keywords

orbit equivalence measure equivalence rigidity theory prime factors Popa's deformation

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Dynamical systems and the theory of (C^*)-algebras (37A55) Classification of factors (46L36)

Related Items (1)

First $\ell^2$-Betti numbers and proper proximality

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
Unique prime decomposition results for factors coming from wreath product groups
An inner amenable group whose von Neumann algebra does not have property Gamma
Group measure space decomposition of $\text{II}_{1}$ factors and $\text W^{*}$-superrigidity
Group cocycles and the ring of affiliated operators
Some OE- and $W^{\ast}$-rigidity results for actions by wreath product groups
Amalgamated free products of weakly rigid factors and calculation of their symmetry groups
Measure equivalence rigidity of the mapping class group
Ergodic subequivalence relations induced by a Bernoulli action
On a class of II$_1$ factors with at most one Cartan subalgebra
$L^{2}$-rigidity in von Neumann algebras
Measure equivalence rigidity and bi-exactness of groups
Applications of free entropy to finite von Neumann algebras. II
Classification of injective factors. Cases $\mathrm{II}_1$, $\mathrm{II}_\infty$, $\mathrm{III}_\lambda$, $\lambda\neq 1$
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
$\ell^2$ invariants of equivalence relations and groups
Solid von Neumann algebras.
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
Cost of equivalence relations and groups
Orbit equivalence rigidity
Prime $\mathrm{II}_1$ factors arising from irreducible lattices in products of rank one simple Lie groups
Unique Cartan decomposition for $\mathrm{II}_1$ factors arising from arbitrary actions of free groups
Maximal rigid subalgebras of deformations and $L^2$-cohomology
$W^\ast$ and $C^\ast $-superrigidity results for coinduced groups
Full factors and co-amenable inclusions
Orbit equivalence rigidity for product actions
Invariant means and the structure of inner amenable groups
Product rigidity in von Neumann and $C^*$-algebras via $S$-malleable deformations
Prime $\text{II}_1$ factors arising from actions of product groups
A class of $\mathrm{II}_1$ factors with a unique McDuff decomposition
A class of $\mathrm{II}_1$ factors with exactly two group measure space decompositions
Rigidity results for wreath product $\mathrm{II}_1$ factors
Orbit equivalence rigidity and bounded cohomology
Orbit equivalence rigidity for ergodic actions of the mapping class group
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
Embedding universality for $\mathrm{II}_1$ factors with property (T)
Cocycle superrigidity for profinite actions of irreducible lattices
A survey of Measured Group Theory
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
W*–superrigidity for Bernoulli actions of property (T) groups
On Groups of Measure Preserving Transformations. I
Explicit computations of all finite index bimodules for a family of II$_1$ factors
Ergodic theory of amenable group actions. I: The Rohlin lemma
An amenable equivalence relation is generated by a single transformation
Property Γ and Inner Amenability
On the structural theory of $\rm II_1$ factors of negatively curved groups
W*-superrigidity for group von Neumann algebras of left-right wreath products
Properly proximal groups and their von Neumann algebras
Tensor product decompositions and rigidity of full factors
RIGIDITY FOR VON NEUMANN ALGEBRAS
Cartan subalgebras of amalgamated free product II$_1$ factors
Rigidity of free product von Neumann algebras
On Ozawa's Property for Free Group Factors
A Kurosh-type theorem for type II1 factors
Orbit equivalence rigidity of irreducible actions of right-angled Artin groups

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