On free entropy dimension of finite von Neumann algebras.

DOI10.1007/s00039-002-8256-6zbMath1040.46043OpenAlexW1983037773MaRDI QIDQ1865769

Junhao Shen, Li Ming Ge

Publication date: 2002

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00039-002-8256-6

zbMATH Keywords

von Neumann algebrageneratorsproperty Tfree entropy dimension

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Measures of information, entropy (94A17)

Related Items (11)

THE FREE ENTROPY DIMENSION OF SOME L^∞[0,1-CIRCULAR OPERATORS] ⋮ Free orbit dimension of finite von Neumann algebras ⋮ Freeness and matrix decompositions ⋮ A modified version of free orbit-dimension of von Neumann algebras ⋮ FREE ENTROPY DIMENSION OF PROJECTIONS AND FACTORIALITY OF GENERATED VON NEUMANN ALGEBRAS ⋮ An alternative to free entropy for free group factors ⋮ Fractal entropies and dimensions for microstates spaces ⋮ SOME EXAMPLES OF BLACKADAR AND KIRCHBERG'S MF ALGEBRAS ⋮ The free entropy dimension of hyperfinite von Neumann algebras ⋮ Any generating set of an arbitrary property \(T\) von Neumann algebra has free entropy dimension \(\leq1\) ⋮ Topological free entropy dimension in unital \(C^*\)-algebras

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