Some unique group-measure space decomposition results (Q364192)

scientific article; zbMATH DE number 6206216

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English	Some unique group-measure space decomposition results	scientific article; zbMATH DE number 6206216

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instance of

scholarly article

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title

Some unique group-measure space decomposition results (English)

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Duke Mathematical Journal

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publication date

5 September 2013

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full work available at URL

https://arxiv.org/abs/1010.5194

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https://projecteuclid.org/euclid.dmj/1375966906

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zbMATH Keywords

closable derivations

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von Neumann algebras

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measure-preserving action

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$W^{\ast}$-superrigid actions

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MaRDI profile type

Publication

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cites work

Unbounded Negative Definite Functions

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Group cohomology, harmonic functions and the first $L^ 2$-Betti number

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Classification of injective factors. Cases $\mathrm{II}_1$, $\mathrm{II}_\infty$, $\mathrm{III}_\lambda$, $\lambda\neq 1$

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Multipliers of the Fourier Algebras of Some Simple Lie Groups and Their Discrete Subgroups

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HNN extensions and unique group measure space decomposition of II$_{1}$ factors

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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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$\ell^2$ invariants of equivalence relations and groups

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A measurable-group-theoretic solution to von Neumann's problem

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An uncountable family of nonorbit equivalent actions of 𝔽_{𝕟}

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Embedding Theorems for Groups

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Cocycle superrigidity for profinite actions of property (T) groups

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Orbit inequivalent actions for groups containing a copy of $\mathbb{F}_{2}$

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W*–superrigidity for Bernoulli actions of property (T) groups

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A class of superrigid group von Neumann algebras

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Q4746311

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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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Cocycle superrigidity and bounded cohomology for negatively curved spaces

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Orbit equivalence rigidity and bounded cohomology

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On rings of operators

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On rings of operators. IV

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On a class of II$_1$ factors with at most one Cartan subalgebra

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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

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$L^{2}$-rigidity in von Neumann algebras

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On cocycle superrigidity for Gaussian actions

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Group cocycles and the ring of affiliated operators

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

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Measure equivalence rigidity and bi-exactness of groups

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Q3211829

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Strong solidity of group factors from lattices in SO($n,1$) and SU($n,1$)

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Identifiers

zbMATH Open document ID

1284.46050

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DOI

10.1215/00127094-2331230

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:364192