A note on injective factors with trivial bicentralizer

DOI10.4171/PRIMS/60-1-3MaRDI QIDQ6618825

Rui Okayasu

Publication date: 15 October 2024

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

zbMATH Keywords

injectivityvon Neumann algebrafactor

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Classification of factors (46L36)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• On the uniqueness of the injective \(\mathrm{III}_{1}\) factor. With a preamble by Alain Connes.
• Unique prime factorization and bicentralizer problem for a class of type III factors
• A new proof of the equivalence of injectivity and hyperfiniteness for factors on a separable Hilbert space
• Action of discrete amenable groups on von Neumann algebras
• Connes' bicentralizer problem and uniqueness of the injective factor of type \(III_ 1\)
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• The flow of weights on factors of type III
• The injective factors of type \(III_{\lambda}\), \(0<\lambda <1\)
• Theory of operator algebras. II
• Ultraproducts of von Neumann algebras
• Equivalence of normal states on von Neumann algebras and the flow of weights
• Approximately transitive flows and ITPFI factors
• Injective W*-algebras
• A classification of factors

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