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.
Ergebnisse der Mathematik und ihrer Grenzgebiete 3. Folge
A Series of Modern Surveys in Mathematics
Editorial Board M. Gromov, Bures-sur-Yvette J. Jost, Leipzig J. Kollár, Princeton G. Laumon, Orsay H. W. Lenstra, Jr., Leiden J. Tits, Paris D. B. Zagier, Bonn/Paris G. M. Ziegler, Berlin Managing Editor R. Remmert, Münster
Volume 50
Sergey Neshveyev Erling Størmer
Dynamical Entropy in Operator Algebras
123
Sergey Neshveyev Erling Størmer Department of Mathematics University of Oslo P. B. 1053 Blindern 0316 Oslo, Norway e-mail:
[email protected] [email protected]
Library of Congress Control Number: 2006928835
Mathematics Subject Classification (2000): 46L55, 28D20
ISSN 0071-1136 ISBN-10 3-540-34670-8 Springer Berlin Heidelberg New York ISBN-13 978-3-540-34670-8 Springer Berlin Heidelberg New York This work is subject to copyr