Structure and classification of factors
type: Item
instance of: scholarly article
title: Structure and classification of factors
zbMATH Open document ID: 0623.46025
DOI: 10.1007/BF01088203
author: A. A. Lodkin
author: B. A. Rubshtejn
published in: Journal of Soviet Mathematics
publication date: 1987-01-01T00:00:00Z
review text: Translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 26, 127-170 (Russian) (1985; Zbl 0616.46055).
Mathematics Subject Classification ID: 46L35
zbMATH DE Number: 4011209
zbMATH Keywords: approximately finite-dimensional factor
zbMATH Keywords: modular theory
zbMATH Keywords: actions on von Neumann algebras
zbMATH Keywords: invariants of factors
MaRDI profile type: Publication
cites work: Q3317285
cites work: Q3037688
cites work: A classification of factors
cites work: Operator algebras and measure preserving automorphisms
cites work: Subalgebras of \(C^ *\)-algebras
cites work: Inductive Limits of Finite Dimensional C ∗ -Algebras
cites work: Tensor products of \(W^ *\)-algebras
cites work: Non-Isomorphic Non-Hyperfinite Factors
cites work: Q3876497
cites work: Injectivity and operator spaces
cites work: Nuclear C ∗ -Algebras and the Approximation Property
cites work: Une classification des facteurs de type ${\rm III}$
cites work: On hyperfinite factors of type III\(_0\) and Krieger's factors
cites work: A factor not anti-isomorphic to itself
cites work: Outer conjugacy classes of automorphisms of factors
cites work: Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
cites work: Q3862613
cites work: Q3903544
cites work: Q3312950
cites work: Q3969402
cites work: Q3730461
cites work: An amenable equivalence relation is generated by a single transformation
cites work: A 𝐼𝐼₁ factor with two nonconjugate Cartan subalgebras
cites work: Measure space automorphisms, the normalizers of their full groups, and approximate finiteness
cites work: The flow of weights on factors of type III
cites work: Property T and asymptotically invariant sequences
cites work: Approximately transitive flows and ITPFI factors
cites work: Deux nouveaux facteurs de type II\(_ 1\)
cites work: On Groups of Measure Preserving Transformations. I
cites work: Tensor products of operator algebras
cites work: On approximately finite-dimensional von Neumann algebras.
cites work: The Equivalence of Various Definitions for a Properly Infinite Von Neumann Algebra to be Approximately Finite Dimensional
cites work: Hyperfiniteness and the Halmos-Rohlin Theorem for Nonsingular Abelian Actions
cites work: On a Certain Class of Operator Algebras
cites work: The standard form of von Neumann algebras.
cites work: On some extension properties of von Neumann algebras
cites work: Cohomology of operator algebras. III : reduction to normal cohomology
cites work: On the isomorphy problem for ergodic equivalence relations
cites work: On non-singular transformations of a measure space. I
cites work: On constructing non-\(^ *\)isomorphic hyperfinite factors of type III
cites work: Q5615484
cites work: On a class of hyperfinite factors that arise from null-recurrent Markov chains
cites work: On the infinite product construction of non-singular transformations of a measure space
cites work: On ergodic flows and the isomorphism of factors
cites work: Duality for dual covariance algebras
cites work: Ergodic theory and virtual groups
cites work: A countable infinity of \(II_1\) factors
cites work: Uncountably many \(II_1\) factors
cites work: Central Sequences and the Hyperfinite Factor
cites work: On rings of operators
cites work: On rings of operators. IV
cites work: On rings of operators. III
cites work: On rings of operators. Reduction theory
cites work: Ergodic theory of amenable group actions. I: The Rohlin lemma
cites work: Point spectra of non-singular flows
cites work: Q3671706
cites work: Representations of uniformly hyperfinite algebras and their associated von Neumann rings
cites work: A groupoid approach to C*-algebras
cites work: Asymptotically abelian {${\rm II}\sb{1}$}-factors
cites work: An uncountable number of \(II^ 1\) and \(II^ \infty\) factors
cites work: Asymptotically invariant sequences and an action of SL(2,Z) on the 2- sphere
cites work: Amenability, Kazhdan's property T, strong ergodicity and invariant means for ergodic group-actions
cites work: Two finite, non‐hyperfinite, non‐isomorphic factors

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cites work: Non‐isomorphism of a pair of factors of type III

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cites work: On Infinite Tensor Products of Von Neumann Algebras

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cites work: Tomita's theory of modular Hilbert algebras and its applications

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cites work: Duality in crossed products and von Neumann algebras of type 𝐼𝐼𝐼

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cites work: Q3876492

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cites work: Q3310407

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cites work: Q3662144

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

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cites work: Injective W*-algebras

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cites work: Q3310409

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cites work: Produits croises d'une \(C^ *\)-algèbre par un groupe d'automorphismes

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cites work: Deux autres facteurs de type \(II_1\)

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Structure and classification of factors (full work available at URL)
full work available at URL: https://doi.org/10.1007/bf01088203

Structure and classification of factors (OpenAlex ID)
OpenAlex ID: W2024106581