Quantum probability and the theory of operator algebras are both concerned with the study of noncommutative dynamics. Focusing on stationary processes with discrete-time parameter, this book presents (without many prerequisites) some basic problems of interest to both fields, on topics including extensions and dilations of completely positive maps, Markov property and adaptedness, endomorphisms of operator algebras and the applications arising from the interplay of these themes. Much of the material is new, but many interesting questions are accessible even to the reader equipped only with basic knowledge of quantum probability and operator algebras.
- ISBN10 354039902X
- ISBN13 9783540399025
- Publish Date 1 August 2006 (first published 4 March 2004)
- Publish Status Active
- Publish Country US
- Imprint Springer New York
- Format eBook
- Language English