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Orbit equivalence rigidity for product actions (Q2200869)

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scientific article; zbMATH DE number 7251054

Language	Label	Description	Also known as
English	Orbit equivalence rigidity for product actions	scientific article; zbMATH DE number 7251054

Statements

scholarly article

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Orbit equivalence rigidity for product actions (English)

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Communications in Mathematical Physics

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publication date

23 September 2020

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full work available at URL

https://arxiv.org/abs/1905.07642

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MaRDI profile type

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W*-superrigidity for wreath products with groups having positive first ℓ<sup>2</sup>-Betti number

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W*-superrigidity for group von Neumann algebras of left-right wreath products

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\(W^*\)-rigidity for the von Neumann algebras of products of hyperbolic groups

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Tensor product decompositions of \(\mathrm{II}_1\) factors arising from extensions of amalgamated free product groups

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An amenable equivalence relation is generated by a single transformation

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Ergodic subequivalence relations induced by a Bernoulli action

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Amalgamated free product rigidity for group von Neumann algebras

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\(\mathrm{W}^\ast\)-superrigidity for arbitrary actions of central quotients of braid groups

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<i>OE</i>and<i>W</i>* superrigidity results for actions by surface braid groups

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Property T for von Neumann Algebras

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Some rigidity results for \(II_1\) factors arising from wreath products of property (T) groups

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Prime \(\mathrm{II}_1\) factors arising from irreducible lattices in products of rank one simple Lie groups

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Cocycle and orbit equivalence superrigidity for coinduced actions

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On Groups of Measure Preserving Transformations. I

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Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. II

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Gromov's measure equivalence and rigidity of higher rank lattices

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Orbit equivalence rigidity

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A survey of Measured Group Theory

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Cost of equivalence relations and groups

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Orbit Equivalence and Measured Group Theory

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On maximal injective subalgebras of factors

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Cocycle superrigidity for translation actions of product groups

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A class of groups for which every action is W\(^\ast\)-superrigid

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Cocycle superrigidity for profinite actions of property (T) groups

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Uniqueness of the group measure space decomposition for Popa's \({\mathcal{HT}}\) factors

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Classification and rigidity for von Neumann algebras

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Strong ergodicity, property (T), and orbit equivalence rigidity for translation actions

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A class of superrigid group von Neumann algebras

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Index for subfactors

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Measure equivalence rigidity of the mapping class group

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Rigidity of amalgamated free products in measure equivalence

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A class of \(\mathrm{II}_1\) factors with exactly two group measure space decompositions

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Orbit equivalence rigidity and bounded cohomology

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On rings of operators. IV

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Some prime factorization results for type II\(_1\) factors

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On a class of II\(_1\) factors with at most one Cartan subalgebra

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Ergodic theory of amenable group actions. I: The Rohlin lemma

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\(L^{2}\)-rigidity in von Neumann algebras

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On a class of type \(\text{II}_1\) factors with Betti numbers invariants

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Strong rigidity of \(\text{II}_1\) factors arising from malleable actions of \(w\)-rigid groups. I

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Cocycle and orbit equivalence superrigidity for malleable actions of \(w\)-rigid groups

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On the superrigidity of malleable actions with spectral gap

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Entropy and index for subfactors

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On cocycle superrigidity for Gaussian actions

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Cocycle and orbit superrigidity for lattices in SL(n,R) acting on homogeneous spaces

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Group measure space decomposition of \(\text{II}_{1}\) factors and \(\text W^{*}\)-superrigidity

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Unique Cartan decomposition for \(\mathrm{II}_1\) factors arising from arbitrary actions of free groups

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Unique Cartan decomposition for \(\mathrm{II}_1\) factors

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Measure equivalence rigidity and bi-exactness of groups

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Automorphisms of Finite Factors

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Invariant random subgroups of strictly diagonal limits of finite symmetric groups

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Explicit computations of all finite index bimodules for a family of II$_1$ factors

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Rigidity for von Neumann algebras and their invariants

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Property (T) and Kazhdan constants for discrete groups

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00220-019-03598-Y

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Sitelinks

Mathematics(1 entry)

mardi Publication:2200869

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