Dynamical Entropy in Operator Algebras
Author:   Sergey Neshveyev ,  Erling Størmer
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   2006 ed.
Volume:   50
ISBN:  

9783540346708


Pages:   296
Publication Date:   18 July 2006
Format:   Hardback
Availability:   Out of print, replaced by POD   Availability explained
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Dynamical Entropy in Operator Algebras


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Overview

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.

Full Product Details

Author:   Sergey Neshveyev ,  Erling Størmer
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2006 ed.
Volume:   50
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   0.610kg
ISBN:  

9783540346708


ISBN 10:   3540346708
Pages:   296
Publication Date:   18 July 2006
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD   Availability explained
We will order this item for you from a manufatured on demand supplier.

Table of 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.- Free Products.

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