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During the last 30 years there have been several attempts at extending the notion of entropy to noncommutative dynamical systems. In this book the authors present 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.
This book will be of interest to graduate students and researchers in mathematics and mathematical physics.
Content Level »Research
Keywords »C*-algebra - C*-algebras - Von Neumann algebras - algebra - differential equation - dynamical systems - entropy - ergodic theory - maximum - measure