A NOTE ON COMMUTING SQUARES ARISING FROM AUTOMORPHISMS ON SUBFACTORS

DOI10.1142/S0129167X99000082zbMath0959.46044MaRDI QIDQ4518291

Phan H. Loi

Publication date: 1 May 2001

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

zbMATH Keywords

automorphismscommuting square of factorsfactors of finite indexhigher obstruction of KawahigashiPopa's classification theoremstrongly outer actions

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Subfactors and their classification (46L37) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (1)

CLASSIFICATION OF APPROXIMATELY INNER ACTIONS OF DISCRETE AMENABLE GROUPS ON STRONGLY AMENABLE SUBFACTORS

Cites Work

• Entropy of groups and subfactors
• Application of fusion rules to classification of subfactors
• Centrally trivial automorphisms and an analogue of Connes' \(\chi(M)\) for subfactors
• Strongly outer actions for an inclusion of factors
• An inclusion of type III factors with index 4 arising from an automorphism
• On automorphisms of subfactors
• Index for subfactors
• Classification of amenable subfactors of type II
• Classification of paragroup actions on subfactors
• Approximately inner and centrally free commuting squares of type II\(_1\) factors and their classification
• STRONGLY FREE ACTIONS ON SUBFACTORS
• Entropy and index for subfactors
• Periodic and Strongly Free Automorphisms on Inclusions of Type III_λ Factors

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