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Structure of bicentralizer algebras and inclusions of type III factors (Q2308327)

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Language	Label	Description	Also known as
English	Structure of bicentralizer algebras and inclusions of type III factors	scientific article

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scholarly article

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Structure of bicentralizer algebras and inclusions of type III factors (English)

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Amine Marrakchi

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Mathematische Annalen

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publication date

3 April 2020

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full work available at URL

https://arxiv.org/abs/1804.05706

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MaRDI profile type

MaRDI publication profile

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Ultraproducts of von Neumann algebras

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Asymptotic ratio set and property \(L_ \lambda^ \prime\)

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Product between ultrafilters and applications to the Connes' embedding problem

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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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Outer conjugacy classes of automorphisms of factors

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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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The Equivalence of Various Definitions for a Properly Infinite Von Neumann Algebra to be Approximately Finite Dimensional

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The standard form of von Neumann algebras.

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Operator valued weights in von Neumann algebras. II

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Pointwise inner automorphisms of von Neumann algebras. With an appendix by Colin Sutherland

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Free Araki-Woods factors and Connes’ bicentralizer problem

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Unique prime factorization and bicentralizer problem for a class of type III factors

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Fullness and Connes' \(\tau\) invariant of type III tensor product factors

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Singular MASAs in type III factors and Connes' bicentralizer property

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Asymptotic structure of free product von Neumann algebras

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Canonical extension of endomorphisms of type III factors

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A Galois correspondence for compact groups of automorphisms of von Neumann algebras with a generalization to Kac algebras

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Index for subfactors

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Extension of Jones' theory on index of arbitrary factors

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Solution of the factorial Stone-Weierstrass conjecture. An application of the theory of standard split \(W^*\)-inclusions

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Full factors, bicentralizer flow and approximately inner automorphisms

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An analogue of Connes-Haagerup approach for classification of subfactors of the type III

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On the relative bicentralizer flows and the relative flow of weights of inclusions of factors of type \(\text{III}_1\)

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Action of discrete amenable groups on von Neumann algebras

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Entropy and index for subfactors

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On a problem of R.V. Kadison on maximal Abelian *-subalgebras in factors

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Semiregular maximal Abelian *-subalgebras and the solution to the factor state Stone-Weierstrass problem

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On the relative Dixmier property for inclusions of \(C^*\)-algebras

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Two finite, non‐hyperfinite, non‐isomorphic factors

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Cohomology and extensions of Neumann algebras. I

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Conditional expectations in von Neumann algebras

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Factoriality, type classification and fullness for free product von Neumann algebras

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Identifiers

zbMATH Open document ID

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10.1007/s00208-019-01939-9

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Mathematics Subject Classification ID

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zbMATH DE Number

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Mathematics(1 entry)

mardi Publication:2308327

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