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Operator Algebras in Dynamical Systems (Encyclopedia of Mathematics and its Applications, Series Number 41) - Hardcover

 
9780521400961: Operator Algebras in Dynamical Systems (Encyclopedia of Mathematics and its Applications, Series Number 41)

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This book is concerned with the theory of unbounded derivations in C*-algebras, a subject whose study was motivated by questions in quantum physics and statistical mechanics, and to which the author has made considerable contributions. This is an active area of research, and one of the most ambitious aims of the theory is to develop quantum statistical mechanics within the framework of C*-theory. The presentation concentrates on topics involving quantum statistical mechanics and differentiations on manifolds. One of the goals is to formulate the absence theorem of phase transitions in its most general form within the C* setting. For the first time, the author globally constructs, within that setting, derivations for a fairly wide class of interacting models, and presents a new axiomatic treatment of the construction of time evolutions and KMS states.

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Book Description

This book is concerned with the theory of unbounded derivations in C*-algebras, a subject whose study was motivated by questions in quantum physics and statistical mechanics, and to which the author has made a considerable contribution. This presentation concentrates on topics involving quantum statistical mechanics and differentiations on manifolds.

Review

"The theory for the normal derivations is developed very clearly in this important book, and the subject is one of the most central ones in the modern theory of operator algebras. It is written by one of the prime movers, and it is addressed to a wide audience. It should be a useful introduction to the subject." Palle E.T. Jørgensen, Mathematical Reviews

"...makes for pleasant browsing and really worthwhile reading....This volume is a gem!" Richard V. Kadison, Bulletin of the American Mathematical Society

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9780521060219: Operator Algebras in Dynamical Systems (Encyclopedia of Mathematics and its Applications, Series Number 41)

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Condition: Very Good. Dust Jacket Condition: Very Good. 8vo pp. 219, "This book is concerned with the theory of unbounded derivations in C*-algebras, a subject whose study was motivated by questions in quantum physics and statistical mechanics, and to which the author has made considerable contributions. This is an active area of research, and one of the most ambitious aims of the theory is? book. Seller Inventory # 267337

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Hardcover. Condition: new. Hardcover. This book is concerned with the theory of unbounded derivations in C -algebras, a subject whose study was motivated by questions in quantum physics and statistical mechanics, and to which the author has made considerable contributions. This is an active area of research, and one of the most ambitious aims of the theory is to develop quantum statistical mechanics within the framework of C -theory. The presentation concentrates on topics involving quantum statistical mechanics and differentiations on manifolds. One of the goals is to formulate the absence theorem of phase transitions in its most general form within the C setting. For the first time, the author globally constructs, within that setting, derivations for a fairly wide class of interacting models, and presents a new axiomatic treatment of the construction of time evolutions and KMS states. This book is concerned with the theory of unbounded derivations in C*-algebras, a subject whose study was motivated by questions in quantum physics and statistical mechanics, and to which the author has made considerable contributions. This is an active area of research, and one of the most ambitious aims of the theory is to develop quantum statistical mechanics within the framework of C*-theory. The presentation concentrates on topics involving quantum statistical mechanics and differentiations on manifolds. One of the goals is to formulate the absence theorem of phase transitions in its most general form within the C* setting. For the first time, the author globally constructs, within that setting, derivations for a fairly wide class of interacting models, and presents a new axiomatic treatment of the construction of time evolutions and KMS states. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521400961

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