Remarks on Automorphisms of Subfactors

DOI10.2307/2160431zbMath0815.46053OpenAlexW2034210140MaRDI QIDQ4300974

Phan H. Loi

Publication date: 12 July 1994

Full work available at URL: https://doi.org/10.2307/2160431

zbMATH Keywords

automorphisms on an inclusion of AFD type \(\text{II}_ 1\) factors with finite index and finite depthclassification problem of AFD type III subfactorssubfactors with principal graph

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) Subfactors and their classification (46L37) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (2)

Commuting squares and the classification of finite depth inclusions of AFD type \(\text{III}_\lambda\) factors, \(\lambda\in(0,1)\) ⋮ On subfactors with unitary orthonormal bases

Cites Work

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• Hecke algebras of type \(A_ n\) and subfactors
• Application of fusion rules to classification of subfactors
• A remark on the minimal index of subgfactors
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• Strongly outer actions for an inclusion of factors
• On the derived towers of certain inclusions of type \(III_ \lambda\) factors of index 4
• Minimizing indices of conditional expectations onto a subfactor
• Index for subfactors
• Entropy and index for subfactors
• Actions of finite groups on the hyperfinite type 𝐼𝐼₁ factor

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