Tail algebras of quantum exchangeable random variables

Dykema, Kenneth; Köstler, Claus

doi:10.1090/S0002-9939-2014-12116-2

Tail algebras of quantum exchangeable random variables
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by Kenneth J. Dykema and Claus Köstler

Proc. Amer. Math. Soc. 142 (2014), 3853-3863

DOI: https://doi.org/10.1090/S0002-9939-2014-12116-2

Published electronically: June 27, 2014

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Abstract:

We show that any countably generated von Neumann algebra with specified normal faithful state can arise as the tail algebra of a quantum exchangeable sequence of noncommutative random variables. We also characterize the cases when the state corresponds to a limit of convex combinations of free product states.

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