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＜電子ブック＞
Dynamical Entropy in Operator Algebras / by Sergey Neshveyev, Erling Størmer
(Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics. ISSN:21975655 ; 50)

版	1st ed. 2006.
出版者	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年	2006
本文言語	英語
大きさ	X, 296 p : online resource
冊子体	Dynamical entropy in operator algebras / Sergey Neshveyev, Erling Størmer
著者標目	*Neshveyev, Sergey author Størmer, Erling author SpringerLink (Online service)
件　名	LCSH:Operator theory LCSH:Functional analysis LCSH:Dynamical systems LCSH:Mathematical physics FREE:Operator Theory FREE:Functional Analysis FREE:Dynamical Systems FREE:Theoretical, Mathematical and Computational Physics
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/3-540-34673-2

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