FREE ENTROPY DIMENSION OF PROJECTIONS AND FACTORIALITY OF GENERATED VON NEUMANN ALGEBRAS

DOI10.1142/S0219025708003051zbMath1158.46046MaRDI QIDQ3519922

Takuho Miyamoto

Publication date: 19 August 2008

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

von Neumann algebrasfree probabilityfree entropyproperty \(\Gamma\)free entropy dimension

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Measures of information, entropy (94A17) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Hausdorff and packing measures (28A78)

Cites Work

• The analogues of entropy and of Fisher's information measure in free probability theory. V: Noncommutative Hilbert transforms
• Applications of free entropy to finite von Neumann algebras. II
• Free products of hyperfinite von Neumann algebras and free dimension
• The analogues of entropy and of Fisher's information measure in free probability theory. II
• The analogues of entropy and of Fisher's information measure in free probability theory. VI: Liberation and mutual free information
• On free entropy dimension of finite von Neumann algebras.
• A free entropy dimension lemma.
• The analogues of entropy and of Fisher's information measure in free probability theory. III: The absence of Cartan subalgebras
• The free entropy dimension of hyperfinite von Neumann algebras

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