Compatibility of a noncommutative probability space and a noncommutative probability space with amalgamation

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dc.creatorCho, Ilwoo
dc.date2004-05-11
dc.date2004-05-12
dc.date.accessioned2026-07-07T05:08:07Z
dc.date.available2026-07-07T05:08:07Z
dc.descriptionIn this paper, we will consider R-transform theory and R-transform calculus for compatible noncommutative probability space and amagamated noncommutative probability space. By doing this, we can realize the relation between scalar-valued R-transforms and operator-valued moment series, under the compatibility. Also, we can see that there is a big gap between freeness and amalgamated freeness.
dc.description37 pages
dc.identifierhttps://arxiv.org/abs/math/0405192
dc.identifierhttp://arxiv.org/abs/math/0405192
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71136
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject47-xx
dc.titleCompatibility of a noncommutative probability space and a noncommutative probability space with amalgamation
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