Classification of actions of compact abelian groups on subfactors with index less than 4

DOI10.1142/S0129167X15500445zbMath1332.46061arXiv1412.4319MaRDI QIDQ5264574

Koichi Shimada

Publication date: 27 July 2015

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.4319

zbMATH Keywords

group actionssubfactors

Mathematics Subject Classification ID

Subfactors and their classification (46L37)

Cites Work

• Actions of compact Abelian groups on semifinite injective factors
• A Borel parametrization of Polish groups
• Extension of Jones' theory on index of arbitrary 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
• Compact Abelian group actions on injective factors
• Centrally trivial automorphisms and an analogue of Connes' \(\chi(M)\) for subfactors
• Strongly outer actions for an inclusion of factors
• Classification of approximately inner automorphisms of subfactors
• Classification of strongly amenable subfactors of type \(III_0\)
• On automorphisms of subfactors
• Actions of discrete amenable groups and groupoids on von Neumann algebras
• Index of subfactors and statistics of quantum fields. I
• Index for subfactors
• Classification of amenable subfactors of type II
• The flow of weights in subfactor theory
• Equivalence of normal states on von Neumann algebras and the flow of weights
• Unified approach to the classification of actions of discrete amenable groups on injective factors
• CLASSIFICATION OF ACTIONS OF DISCRETE AMENABLE GROUPS ON AMENABLE SUBFACTORS OF TYPE II
• CLASSIFICATION OF APPROXIMATELY INNER ACTIONS OF DISCRETE AMENABLE GROUPS ON STRONGLY AMENABLE SUBFACTORS

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