On Lehner's `free' noncommutative analogue of De Finetti's theorem
Operator Algebras
2008-06-24 v1
Abstract
Inspired 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.
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Cite
@article{arxiv.0806.3632,
title = {On Lehner's `free' noncommutative analogue of De Finetti's theorem},
author = {Claus Köstler},
journal= {arXiv preprint arXiv:0806.3632},
year = {2008}
}
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9 pages