On Lehner's `free' noncommutative analogue of the de Finetti theorem

Claus Köstler

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Inspired by Lehner's results on exchangeability systems in [Leh06] 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.
Original languageEnglish
Pages (from-to)885-895
Number of pages11
JournalProceedings of the American Mathematical Society
Publication statusPublished - 31 Jan 2011


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