Free Fisher information and amalgamated freeness

DOI10.1007/BF02439862zbMath1091.94013MaRDI QIDQ2369392

Xiaohong Cao, Maozheng Guo, Bin Meng

Publication date: 9 May 2006

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

free Fisher informationHilbert \(C^*\)-moduleoperator-valued random variable

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Measures of information, entropy (94A17) Free products of (C^*)-algebras (46L09)

Cites Work

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• 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
• The analogues of entropy and of Fisher's information measure in free probability theory. VI: Liberation and mutual free information
• An invitation to von Neumann algebras
• The analogues of entropy and of Fisher's information measure in free probability theory. III: The absence of Cartan subalgebras
• Combinatorial theory of the free product with amalgamation and operator-valued free probability theory

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