© 2006

Dynamical Entropy in Operator Algebras

  • Only monograph on this topic.


Table of contents

  1. Front Matter
    Pages I-IX
  2. General Theory

    1. Front Matter
      Pages 1-1
    2. Pages 15-31
    3. Pages 33-60
    4. Pages 93-106
    5. Pages 121-132
    6. Pages 133-153
  3. Special Topics

    1. Front Matter
      Pages 155-155
    2. Pages 211-225
    3. Pages 227-249
    4. Pages 251-264
  4. Back Matter
    Pages 265-296

About this book


During the last 30 years there have been several attempts at extending the notion of entropy to noncommutative dynamical systems. The authors present in the book the two most successful approaches to the extensions of measure entropy and topological entropy to the noncommutative setting and analyze in detail the main models in the theory.

The book addresses mathematicians and physicists, including graduate students, who are interested in quantum dynamical systems and applications of operator algebras and ergodic theory. Although the authors assume a basic knowledge of operator algebras, they give precise definitions of the notions and in most cases complete proofs of the results which are used.


C*-algebra C*-algebras Von Neumann algebras algebra differential equation dynamical systems entropy ergodic theory maximum measure

Authors and affiliations

  1. 1.Department of MathematicsUniversity of OsloOsloNorway

Bibliographic information