Analytic subordination results in free probability from non-coassociative derivation-comultiplications

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dc.creatorCurran, Stephen
dc.date2008-10-27
dc.date.accessioned2026-07-07T10:13:21Z
dc.date.available2026-07-07T10:13:21Z
dc.descriptionWe extend Voiculescu's approach to analytic subordination through the coalgebra of the free difference quotient to non-coassociative derivation-comultiplications appearing in free probability theory. We obtain new proofs of Voiculescu's analytic subordination results for freely Markovian triples, and for multiplication of unitaries which are free with amalgamation.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0810.4733
dc.identifierhttp://arxiv.org/abs/0810.4733
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172496
dc.subjectOperator Algebras
dc.subjectQuantum Algebra
dc.subject46L54; 16W30
dc.titleAnalytic subordination results in free probability from non-coassociative derivation-comultiplications
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