On the relative bicentralizer flows and the relative flow of weights of inclusions of factors of type \(\text{III}_1\)
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Publication:2179608
DOI10.4171/PRIMS/56-2-4zbMath1453.46056arXiv1812.02877OpenAlexW3014960124MaRDI QIDQ2179608
Publication date: 13 May 2020
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.02877
Noncommutative dynamical systems (46L55) Automorphisms of selfadjoint operator algebras (46L40) Classification of factors (46L36)
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Cites Work
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- Unique prime factorization and bicentralizer problem for a class of type III factors
- Connes' bicentralizer problem and uniqueness of the injective factor of type \(III_ 1\)
- Flows of weights of crossed products of type III factors by discrete groups
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- The structure of the automorphism group of an injective factor and the cocycle conjugacy of discrete abelian group actions
- The flow of weights on factors of type III
- A Galois correspondence for compact groups of automorphisms of von Neumann algebras with a generalization to Kac algebras
- Classification of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III
- Structure of bicentralizer algebras and inclusions of type III factors
- An analogue of Connes-Haagerup approach for classification of subfactors of the type III
- Unified approach to the classification of actions of discrete amenable groups on injective factors
- Canonical extension of endomorphisms of type III factors
- A classification of factors
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