Structure and classification of factors (Q1091570)

scientific article; zbMATH DE number 4011209

Language	Label	Description	Also known as
English	Structure and classification of factors	scientific article; zbMATH DE number 4011209

Statements

instance of

scholarly article

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title

Structure and classification of factors (English)

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Journal of Soviet Mathematics

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publication date

1987

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review text

Translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 26, 127-170 (Russian) (1985; Zbl 0616.46055).

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zbMATH Keywords

approximately finite-dimensional factor

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modular theory

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actions on von Neumann algebras

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invariants of factors

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A classification of factors

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Operator algebras and measure preserving automorphisms

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Subalgebras of $C^ *$-algebras

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Inductive Limits of Finite Dimensional C ∗ -Algebras

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Tensor products of $W^ *$-algebras

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Non-Isomorphic Non-Hyperfinite Factors

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Q3876497

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Injectivity and operator spaces

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Nuclear C ∗ -Algebras and the Approximation Property

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

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On hyperfinite factors of type III$_0$ and Krieger's factors

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A factor not anti-isomorphic to itself

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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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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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Measure space automorphisms, the normalizers of their full groups, and approximate finiteness

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The flow of weights on factors of type III

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Property T and asymptotically invariant sequences

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Approximately transitive flows and ITPFI factors

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Deux nouveaux facteurs de type II$_ 1$

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On Groups of Measure Preserving Transformations. I

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Tensor products of operator algebras

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On approximately finite-dimensional von Neumann algebras.

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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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Hyperfiniteness and the Halmos-Rohlin Theorem for Nonsingular Abelian Actions

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On a Certain Class of Operator Algebras

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The standard form of von Neumann algebras.

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On some extension properties of von Neumann algebras

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Cohomology of operator algebras. III : reduction to normal cohomology

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On the isomorphy problem for ergodic equivalence relations

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On non-singular transformations of a measure space. I

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On constructing non-$^ *$isomorphic hyperfinite factors of type III

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Q5615484

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On a class of hyperfinite factors that arise from null-recurrent Markov chains

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On the infinite product construction of non-singular transformations of a measure space

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On ergodic flows and the isomorphism of factors

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Duality for dual covariance algebras

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Ergodic theory and virtual groups

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A countable infinity of $II_1$ factors

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Uncountably many $II_1$ factors

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Central Sequences and the Hyperfinite Factor

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On rings of operators

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On rings of operators. IV

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On rings of operators. III

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On rings of operators. Reduction theory

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

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Point spectra of non-singular flows

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Q3671706

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Representations of uniformly hyperfinite algebras and their associated von Neumann rings

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A groupoid approach to C*-algebras

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Asymptotically abelian {${\rm II}\sb{1}$}-factors

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An uncountable number of $II^ 1$ and $II^ \infty$ factors

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Asymptotically invariant sequences and an action of SL(2,Z) on the 2- sphere

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Amenability, Kazhdan's property <i>T</i>, strong ergodicity and invariant means for ergodic group-actions

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Two finite, non‐hyperfinite, non‐isomorphic factors

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Non‐isomorphism of a pair of factors of type III

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On Infinite Tensor Products of Von Neumann Algebras

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Tomita's theory of modular Hilbert algebras and its applications

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Duality in crossed products and von Neumann algebras of type 𝐼𝐼𝐼

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Q3876492

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Q3310407

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Q3662144

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On the projection of norm one in $W^ *$-algebras

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Injective <i>W</i>*-algebras

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Q3310409

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Produits croises d'une $C^ *$-algèbre par un groupe d'automorphismes

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Deux autres facteurs de type $II_1$

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Strong rigidity for ergodic actions of semisimple Lie groups

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full work available at URL

https://doi.org/10.1007/bf01088203

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Identifiers

zbMATH Open document ID

0623.46025

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DOI

10.1007/BF01088203

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:1091570