Flows of weights of crossed products of type III factors by discrete groups

DOI10.2977/prims/1195170851zbMath0744.46060OpenAlexW2025952255MaRDI QIDQ1173973

Yoshihiro Sekine

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.2977/prims/1195170851

zbMATH Keywords

modulenormal subgroupmodular invariantmodular automorphism groupcharacteristic invariantcenter of the crossed productCocycle conjugate actionsflow of weights of the crossed product

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Classifications of (C^*)-algebras (46L35)

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An inclusion of type III factors with index 4 arising from an automorphism, Classification of actions of discrete Kac algebras on injective factors, Characteristic invatiant of tensor product actions and actions on crossed products, On types of quasifree representations of Clifford algebras, COCYCLE CONJUGACY OF ONE PARAMETER AUTOMORPHISM GROUPS OF AFD FACTORS OF TYPE III, A characterization of the fullness of continuous cores of type \(\mathrm{III}_{1}\) free product factors, On the relative bicentralizer flows and the relative flow of weights of inclusions of factors of type \(\text{III}_1\), Canonical extension of actions of locally compact quantum groups., The Effros-Maréchal topology in the space of von Neumann algebras. II, Compact Abelian group actions on injective factors, Classification of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III, Centrally trivial automorphisms and an analogue of Connes' \(\chi(M)\) for subfactors

Cites Work

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• Action of discrete amenable groups on von Neumann algebras
• The structure of the automorphism group of an injective factor and the cocycle conjugacy of discrete abelian group actions
• On ergodic flows and the isomorphism of factors
• The flow of weights on factors of type III
• A generalization of free action
• The standard form of von Neumann algebras.
• Une classification des facteurs de type ${\rm III}$