Characteristic invatiant of tensor product actions and actions on crossed products

DOI10.1017/S1446788700009022zbMath1026.46051MaRDI QIDQ4805990

Yukako Miwa, Yoshikazu Katayama

Publication date: 8 May 2003

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

crossed productmodular invariantcharacteristic invariant

Mathematics Subject Classification ID

Automorphisms of selfadjoint operator algebras (46L40)

Cites Work

• Actions of discrete amenable groups on injective factors of type \(III_{\lambda}\), \(\lambda\) \(\neq 1\)
• Duality for crossed products and the structure of von Neumann algebras of type III
• Actions of compact Abelian groups on semifinite injective factors
• Action of discrete amenable groups on von Neumann algebras
• The characteristic square of a factor and the cocycle conjugacy of discrete group actions on factors
• Flows of weights of crossed products of type III factors by discrete groups
• Compact Abelian group actions on injective factors
• The structure of the automorphism group of an injective factor and the cocycle conjugacy of discrete abelian group actions
• Almost periodic states and factors of type III\(_1\)
• On ergodic flows and the isomorphism of factors
• 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
• Pointwise inner automorphisms of von Neumann algebras. With an appendix by Colin Sutherland
• Actions of discrete amenable groups and groupoids on von Neumann algebras
• Actions of finite groups on the hyperfinite type 𝐼𝐼₁ factor

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