On some decomposition properties for factors of type \(\text{II}_1\)

DOI10.1215/S0012-7094-98-09405-4zbMath0947.46042MaRDI QIDQ1974837

Li Ming Ge, Sorin Popa

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

tensor productsvon Neumann algebrasdisintegrationdecomposition propertiesfinite Jones indexcross-productsAFD propertiesfactors of type \(\text{II}_1\)thin factors

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Classifications of (C^*)-algebras (46L35) Tensor products of (C^*)-algebras (46L06)

Related Items (18)

Von Neumann algebras generated by two unitary operators \(u\) and \(v\) with \(u^{2}=v^{3}=1\) ⋮ Generator problem for certain property T factors ⋮ Free orbit dimension of finite von Neumann algebras ⋮ Certain free products of operator spaces ⋮ A random matrix approach to the Peterson-Thom conjecture ⋮ On some categories of structured sets ⋮ Embedding universality for \(\mathrm{II}_1\) factors with property (T) ⋮ Freeness and matrix decompositions ⋮ An alternative to free entropy for free group factors ⋮ Similarity degrees for the crossed product of von Neumann algebras ⋮ The generator problem for $\mathcal {Z}$-stable $C^*$-algebras ⋮ Maximal von Neumann subalgebras arising from maximal subgroups ⋮ Constructing MASAs with prescribed properties ⋮ Free group factors and factors with some decompositions ⋮ On ergodic embeddings of factors ⋮ Topological free entropy dimension in unital \(C^*\)-algebras ⋮ Coarse decomposition of \(\mathrm{II}_1\) factors ⋮ Norming \(C^*\)-algebras by \(C^*\)-subalgebras

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