Dynamical entropy in operator algebras
著者
書誌事項
Dynamical entropy in operator algebras
(Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge,
Springer, c2006
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注記
Includes bibliographical references (p. [279]-289) and index
内容説明・目次
内容説明
The book addresses mathematicians and physicists, including graduate students, who are interested in quantum dynamical systems and applications of operator algebras and ergodic theory. It is the only monograph on this topic. 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.
目次
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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