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arXiv · 1202.4749

Tail algebras of quantum exchangeable random variables

Kenneth J. Dykema·Claus Köstler
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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 products states.

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Kenneth J. Dykema, Claus Köstler. 2012-02-21. Tail algebras of quantum exchangeable random variables. https://arxiv.org/abs/1202.4749

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