Type III factors with unique Cartan decomposition (Q391500)

scientific article; zbMATH DE number 6244278

Language	Label	Description	Also known as
English	Type III factors with unique Cartan decomposition	scientific article; zbMATH DE number 6244278

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instance of

scholarly article

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title

Type III factors with unique Cartan decomposition (English)

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Journal de Mathématiques Pures et Appliquées. Neuvième Série

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publication date

10 January 2014

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full work available at URL

https://arxiv.org/abs/1203.1254

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zbMATH Keywords

Cartan subalgebras

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nonsingular equivalence relations

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noncommutative flow of weights

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deformation/rigidity theory

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MaRDI profile type

Publication

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cites work

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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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An amenable equivalence relation is generated by a single transformation

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A 𝐼𝐼₁ factor with two nonconjugate Cartan subalgebras

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The flow of weights on factors of type III

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Applications of free entropy to finite von Neumann algebras. II

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Equivalence of normal states on von Neumann algebras and the flow of weights

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Approximation properties and absence of Cartan subalgebra for free Araki-Woods factors

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

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Weak exactness for $C^\ast$-algebras and application to condition (AO)

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Index for subfactors

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Examples of groups which are not weakly amenable

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

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

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Identifiers

zbMATH Open document ID

1291.46052

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Mathematics Subject Classification ID

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10.1016/J.MATPUR.2013.01.013

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Sitelinks

Mathematics(1 entry)

mardi Publication:391500