Dynamical Entropy in Operator Algebras
By: Neshveyev, Sergey [author.].
Contributor(s): St�rmer, Erling [author.2 ] | SpringerLink (Online service)0.
Material type:
BookSeries: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; 500.Berlin, Heidelberg : Springer Berlin Heidelberg, 2006. Description: X, 296 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540346739.Subject(s): Mathematics | Dynamics | Ergodic theory | Functional analysis | Operator theory | Physics.1 | Mathematics.2 | Operator Theory.2 | Functional Analysis.2 | Dynamical Systems and Ergodic Theory.2 | Theoretical, Mathematical and Computational Physics.1DDC classification: 515.724 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|
| PK Kelkar Library, IIT Kanpur | Available | EBK7928 |
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.
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