Tail algebras of quantum exchangeable random variables
| Autor: | Dykema, Kenneth J., Köstler, Claus |
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| Rok vydání: | 2012 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: The revised version includes more detailed exposition in section 4 |
| Databáze: | arXiv |
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