On the Existence of Central Sequences in Subfactors

DOI10.2307/2001593zbMath0711.46048OpenAlexW4252326098MaRDI QIDQ3496784

Dietmar Bisch

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2001593

zbMATH Keywords

subfactorexistence of nontrivial entral sequencesseparable \(II_ 1\)-factor

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Classifications of (C^*)-algebras (46L35)

Related Items (9)

Orbifold subfactors from Hecke algebras ⋮ Classification of amenable subfactors of type II ⋮ Full factors and co-amenable inclusions ⋮ Divisible operators in von Neumann algebras ⋮ Unnamed Item ⋮ Finite group actions on \(C^*\)-algebras with the Rohlin property. I ⋮ Approximate innerness and central triviality of endomorphisms ⋮ Central sequences in the factor associated with Thomson's group \(F\) ⋮ Centrally trivial automorphisms and an analogue of Connes' \(\chi(M)\) for subfactors

Cites Work

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• Maximal injective subalgebras in factors associated with free groups
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• Classification of subfactors: The reduction to commuting squares
• Index for subfactors
• On rings of operators. IV
• On the singularity of a positive linear functional on operator algebra
• An amenable equivalence relation is generated by a single transformation
• Outer conjugacy classes of automorphisms of factors
• The Dual Space of an Operator Algebra
• Central Sequences and the Hyperfinite Factor

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