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.
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Let (X, B, ) be a Lebesgue space, that is, after removing a subset of measure zero X can be given the topology of a complete separable metric space such that is a regular probability measure on X, and B is the algebra of measurable subsets of X. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
singular spectral measure, stationary coupling, commuting square condition, dynamical entropy, trace preserving conditional expectation, full crossed product, abelian systems, weak operator closure, exact algebras, tracial state, canonical coupling, canonical shift, abelian model, entropic properties, reduced free product, continuous spectral measure, topological entropy, mutual entropy, positive maps, finite measurable partition, product automorphism, faithful normal state, noncommutative tori, state gyp, fixed point algebra New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Let (X, B, ) be a Lebesgue space, that is, after removing a subset of measure zero X can be given the topology of a complete separable metric space such that is a regular probability measure on X, and B is the algebra of measurable subsets of X. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
singular spectral measure, stationary coupling, commuting square condition, dynamical entropy, trace preserving conditional expectation, full crossed product, abelian systems, weak operator closure, exact algebras, tracial state, canonical coupling, canonical shift, abelian model, entropic properties, reduced free product, continuous spectral measure, topological entropy, mutual entropy, positive maps, finite measurable partition, product automorphism, faithful normal state, noncommutative tori, state gyp, fixed point algebra New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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