Noncommutative stationary processes

Author(s)

    • Gohm, Rolf

Bibliographic Information

Noncommutative stationary processes

Rolf Gohm

(Lecture notes in mathematics, 1839)

Springer, c2004

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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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Details

  • NCID
    BA66466952
  • ISBN
    • 3540209263
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Berlin ; Tokyo
  • Pages/Volumes
    viii, 170 p.
  • Size
    24 cm
  • Parent Bibliography ID
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