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Dynamical Entropy in Operator Algebras

Title
Dynamical Entropy in Operator Algebras [electronic resource] / by Sergey Neshveyev, Erling Størmer.
ISBN
9783540346739
Edition
1st ed. 2006.
Publication
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Physical Description
1 online resource (X, 296 p).
Local Notes
Access is available to the Yale community.
Access and use
Access restricted by licensing agreement.
Summary
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.
Variant and related titles
Springer ENIN.
Other formats
Printed edition:
Printed edition:
Printed edition:
Format
Books / Online
Language
English
Added to Catalog
July 12, 2019
Series
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; 50.
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 50
Contents
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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