Tail algebras of quantum exchangeable random variables
Operator Algebras
2012-12-13 v2
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.
Cite
@article{arxiv.1202.4749,
title = {Tail algebras of quantum exchangeable random variables},
author = {Kenneth J. Dykema and Claus Köstler},
journal= {arXiv preprint arXiv:1202.4749},
year = {2012}
}
Comments
The revised version includes more detailed exposition in section 4