Index and flow of weights of factors of type III

DOI10.3792/pjaa.64.11zbMath0643.46044OpenAlexW2073160273MaRDI QIDQ1101929

Toshihiro Hamachi, Hideki Kosaki

Publication date: 1988

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.64.11

zbMATH Keywords

conditional expectationsubfactorfactor of type III

Mathematics Subject Classification ID

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

Related Items

An inclusion of type III factors with index 4 arising from an automorphism ⋮ Inclusion of type III factors constructed from ergodic flows ⋮ Entropy for canonical shifts. II ⋮ Index of subfactors and statistics of quantum fields. I

Cites Work

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• Duality for crossed products and the structure of von Neumann algebras of type III
• Extension of Jones' theory on index of arbitrary factors
• Operator valued weights in von Neumann algebras. II
• On the spatial theory of von Neumann algebras
• The flow of weights on factors of type III
• Index for subfactors
• Conditional expectations in von Neumann algebras
• Entropy and index for subfactors
• Une classification des facteurs de type ${\rm III}$