Dynamical Entropy in Operator Algebras
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Beschreibung
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.
Only monograph on this topic. Includes supplementary material: sn.pub/extras
Autor*in
Sergey Neshveyev
Themen in »Dynamical Entropy in Operator Algebras«
C*-algebra C*-algebras Von Neumann algebras algebra differential equation dynamical systems entropy ergodic theory maximum measure