Central sequences in the factor associated with Thomson's group \(F\)

DOI10.5802/aif.1650zbMath0915.46052OpenAlexW2316665087MaRDI QIDQ1271454

Paul Jolissaint

Publication date: 9 November 1998

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1998__48_4_1093_0

zbMATH Keywords

crossed productscentral sequencescentrally free actionsConnes' classification of injective factorsweak form of amenability

Mathematics Subject Classification ID

Special subgroups (Frattini, Fitting, etc.) (20D25) General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) Classifications of (C^*)-algebras (46L35)

Related Items

Tensor product decompositions of \(\mathrm{II}_1\) factors arising from extensions of amalgamated free product groups, Inner amenability of the subgroups of \(\mathrm{PL}^+(I)\), An inner amenable group whose von Neumann algebra does not have property Gamma, Non-inner amenability of the Thompson groups \(T\) and \(V\), Actions of picture groups on CAT(0) cubical complexes., A Følner invariant for type II\(_{1}\) factors, Operator algebras related to Thompson's group F, Inner amenability for groups and central sequences in factors, Parseval frames for ICC groups

Cites Work

• Unnamed Item
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• Groups of piecewise linear homeomorphisms of the real line
• Action of discrete amenable groups on von Neumann algebras
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• The topological structure of the unitary and automorphism groups of a factor
• Introductory notes on Richard Thompson's groups
• Deux nouveaux facteurs de type II\(_ 1\)
• On the Existence of Central Sequences in Subfactors
• Combinatorial Group Theory and Topology. (AM-111)
• Property Γ and Inner Amenability
• Outer conjugacy classes of automorphisms of factors
• Central Sequences in Subfactors II
• Moyennabilité intérieure du groupe F de Thompson
• Central Sequences and the Hyperfinite Factor