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ISBN 10: 364207104X
ISBN 13: 978-3642071041
Author: Sergey Neshveyev, Erling Stormer
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.
Front Matter
General Theory
Classical Dynamical Systems
Relative Entropy
Dynamical Entropy
Maximality of Entropy and Commutativity
Dynamical Abelian Models
Topological Entropy
Dynamics on the State Space
Crossed Products
Variational Principle
Special Topics
Relative Entropy and Subfactors
Systems of Algebraic Origin
Binary Shifts
Bogoliubov Automorphisms
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Back Matter
dynamical entropy in operator algebras
what is entropy in economics
what is entropy in thermodynamics
is delta s entropy
is entropy 0 at equilibrium
Tags: Sergey Neshveyev, Erling Stormer, Dynamical, Entropy, Operator, Algebras, Mathematik, Grenzgebiete, Surveys
