A Microstates Approach to Relative Free Entropy

Simple item page
dc.creatorShlyakhtenko, Dimitri
dc.date1998-12-14
dc.date.accessioned2026-07-07T05:27:14Z
dc.date.available2026-07-07T05:27:14Z
dc.descriptionWe define and study a relative free entropy quantity, analogous in its properties to Voiculescu's relative free entropy Chi^*(...:B). Our definition uses matricial microstates, unlike his definition, which involves non-commutative Hilbert transform. We prove a change of variable formula and certain maximization results for our quantity. We also exhibit a connection between the free entropy of a matrix with operator entries, relative to the algebra of scalar matrices, with the free entropy of the entries of the matrix.
dc.identifierhttps://arxiv.org/abs/math/9812079
dc.identifierhttp://arxiv.org/abs/math/9812079
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77843
dc.subjectOperator Algebras
dc.subject46L50; 60H25
dc.titleA Microstates Approach to Relative Free Entropy
dc.typetext

Files

Collections

arXiv