An inclusion of type III factors with index 4 arising from an automorphism

DOI10.2977/PRIMS/1195167735zbMath0809.46074OpenAlexW2082572303MaRDI QIDQ1328898

Yoshihiro Sekine

Publication date: 29 June 1994

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/1195167735

zbMATH Keywords

automorphismCoxeter-Dynkin diagramprincipal graphinclusion of type III factors with index 4

Mathematics Subject Classification ID

Subfactors and their classification (46L37)

Related Items (2)

QUANTUM MECHANICS IN AFC*-SYSTEMS ⋮ A NOTE ON COMMUTING SQUARES ARISING FROM AUTOMORPHISMS ON SUBFACTORS

Cites Work

• Inclusion of type III factors constructed from ergodic flows
• Extension of Jones' theory on index of arbitrary factors
• Index and flow of weights of factors of type III
• Flows of weights of crossed products of type III factors by discrete groups
• Entropy of groups and subfactors
• Application of fusion rules to classification of subfactors
• Entropy for canonical shifts. II
• A remark on the minimal index of subgfactors
• The structure of the automorphism group of an injective factor and the cocycle conjugacy of discrete abelian group actions
• Classification of subfactors: The reduction to commuting squares
• Minimizing indices of conditional expectations onto a subfactor
• Index for subfactors
• Classification of subfactors with the principal graph \(D^{(1)}_ n\)
• A generalization of free action
• Equivalence of normal states on von Neumann algebras and the flow of weights
• Entropy and index for subfactors
• Entropy for Canonical Shifts
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