THE FREE ENTROPY DIMENSION OF SOME L∞[0,1]-CIRCULAR OPERATORS

DOI10.1142/S0129167X07004242zbMath1125.46053arXivmath/0604003OpenAlexW2024104197MaRDI QIDQ5297761

Gabriel H. Tucci, Kenneth J. Dykema

Publication date: 13 July 2007

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604003

zbMATH Keywords

free entropy dimensiongeneralized circular operators

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54)

Cites Work

• Unnamed Item
• Limit laws for random matrices and free products
• Free products of hyperfinite von Neumann algebras and free dimension
• Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index
• The analogues of entropy and of Fisher's information measure in free probability theory. II
• Random regularization of Brown spectral measure
• On free entropy dimension of finite von Neumann algebras.
• Invariant subspaces of the quasinilpotent DT-operator
• The analogues of entropy and of Fisher's information measure in free probability theory. III: The absence of Cartan subalgebras
• Hyperinvariant subspaces for some \(B\)-circular operators
• FREE ENTROPY
• A hyperfinite inequality for free entropy dimension
• The free entropy dimension of hyperfinite von Neumann algebras
• DT-operators and decomposability of Voiculescu's circular operator
• MOMENT FORMULAS FOR THE QUASI-NILPOTENT DT-OPERATOR

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