On Lehner's `free' noncommutative analogue of De Finetti's theorem

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dc.creatorKöstler, Claus
dc.date2008-06-23
dc.date.accessioned2026-07-07T09:46:09Z
dc.date.available2026-07-07T09:46:09Z
dc.descriptionInspired by Lehner's results on exchangeability systems we define `weak conditional freeness' and `conditional freeness' for stationary processes in an operator algebraic framework of noncommutative probability. We show that these two properties are equivalent and thus the process embeds into a von Neumann algebraic amalgamated free product over the fixed point algebra of the stationary process.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/0806.3632
dc.identifierhttp://arxiv.org/abs/0806.3632
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163430
dc.subjectOperator Algebras
dc.subject46L54; 46L53; 60G09
dc.titleOn Lehner's `free' noncommutative analogue of De Finetti's theorem
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