Tail algebras of quantum exchangeable random variables

Details Tail algebras of quantum exchangeable random variables Tail algebras of quantum exchangeable random variables

2012-02-21

arxiv.org/abs/1202.4749v1

Mathematics

Operator Algebras

11 pages

Scientific paper

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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