Free Fisher Information for Non-Tracial States

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dc.creatorShlyakhtenko, Dimitri
dc.date2001-01-17
dc.date.accessioned2026-07-07T04:39:41Z
dc.date.available2026-07-07T04:39:41Z
dc.descriptionWe extend Voiculescu's microstates-free definitions of free Fisher information and free entropy to the non-tracial framework. We explain the connection between these quantities and free entropy with respect to certain completely positive maps acting on the core of the non-tracial non-commutative probability space. We give a condition on free Fisher information of an infinite family of variables, which guarantees factoriality of the von Neumann algebra they generate.
dc.identifierhttps://arxiv.org/abs/math/0101137
dc.identifierhttp://arxiv.org/abs/math/0101137
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60769
dc.subjectOperator Algebras
dc.subject46L54
dc.titleFree Fisher Information for Non-Tracial States
dc.typetext

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