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Bass-Serre rigidity results in von Neumann algebras (Q974796)

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Language	Label	Description	Also known as
English	Bass-Serre rigidity results in von Neumann algebras	scientific article

Statements

scholarly article

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Bass-Serre rigidity results in von Neumann algebras (English)

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Duke Mathematical Journal

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publication date

7 June 2010

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full work available at URL

https://arxiv.org/abs/0805.1566

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zbMATH Keywords

Bass-Serre-type rigidity

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II\(_1\) equivalence relations

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nonamenable factor

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prime factors

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MaRDI profile type

MaRDI publication profile

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Boundary amenability for word hyperbolic groups and an application to smooth dynamics of simple groups

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Free products, orbit equivalence and measure equivalence rigidity

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Amenable correspondences and approximation properties for von Neumann algebras

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Free Product Von Neumann Algebras of Type III

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Group cohomology, harmonic functions and the first \(L^ 2\)-Betti number

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Ergodic subequivalence relations induced by a Bernoulli action

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Une classification des facteurs de type ${\rm III}$

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Almost periodic states and factors of type III\(_1\)

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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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Homogeneity of the state space of factors of type \(III_1\)

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The flow of weights on factors of type III

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Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one

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Tensor products of operator algebras

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The non-commutative flow of weights on a von Neumann algebra

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Cost of equivalence relations and groups

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Examples of Prime von Neumann Algebras

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Applications of free entropy to finite von Neumann algebras. II

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Construction of type II1 factors with prescribed countable fundamental group

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Amalgamated free products of weakly rigid factors and calculation of their symmetry groups

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More irreducible boundary representations of free groups

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Solid von Neumann algebras.

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A Kurosh-type theorem for type II1 factors

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An example of a solid von Neumann algebra

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

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Tensor products with anisotropic principal series representations of free groups

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

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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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Some rigidity results for non-commutative Bernoulli shifts

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

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On Ozawa's Property for Free Group Factors

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On the superrigidity of malleable actions with spectral gap

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Factors from trees

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Khintchine type inequalities for reduced free products and applications

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Prime type III factors

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Theory of operator algebras. II

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Duality for crossed products and the structure of von Neumann algebras of type III

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Orbit equivalence and actions of

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Amalgamated free product over Cartan subalgebra

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Remarks on free products with respect to non-tracial states

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Fullness, Connes’ $\chi $-groups, and ultra-products of amalgamated free products over Cartan subalgebras

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

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Free Random Variables

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Identifiers

zbMATH Open document ID

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10.1215/00127094-2010-020

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:974796

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