Noncommutative stationary processes
Author(s)
Bibliographic Information
Noncommutative stationary processes
（Lecture notes in mathematics, 1839）
Springer, c2004
Available at 63 libraries
Note
Includes bibliographical references (p. [165]-168) and index
Description and Table of Contents
Description
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.
Table of Contents
Preface.- Introduction.- 1. Extensions and dilations.- 2. Markov processes.- 3. Adaptedness.- 4. Examples and applications.- A. Some facts about unital completely positive maps.- References.- Index.
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