Free Fisher information with respect to a completely positive map and cost of equivalence relations

DOI10.1007/s002200100385zbMath0982.46049OpenAlexW2047466323MaRDI QIDQ5940430

Dimitri Shlyakhtenko

Publication date: 9 August 2001

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200100385

zbMATH Keywords

von Neumann algebracompletely positive mapscost of equivalence relationsfree dimensionsfree Fisher informationmultiplicative free Brownian motiontracial non-commutative probability space

Mathematics Subject Classification ID

Brownian motion (60J65) Free probability and free operator algebras (46L54) Noncommutative measure and integration (46L51) Quantum stochastic calculus (81S25)

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Free transportation cost inequalities via random matrix approximation ⋮ On finite free Fisher information for eigenvectors of a modular operator ⋮ Microstates free entropy and cost of equivalence relations ⋮ ORBITAL APPROACH TO MICROSTATE FREE ENTROPY

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