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Operator Algebras in Dynamical Systems : Encyclopedia of Mathematics and Its Applications - Shoichiro Sakai

Operator Algebras in Dynamical Systems

Encyclopedia of Mathematics and Its Applications

By: Shoichiro Sakai, G.-C. Rota (Editor), B. Doran (Editor), M. Ismail (Editor), T. Y. Lam (Editor)

Hardcover Published: 30th August 1991
ISBN: 9780521400961
Number Of Pages: 232

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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.

Industry Reviews

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

Bounded derivations
Unbounded derivations
C-dynamical systems
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521400961
ISBN-10: 0521400961
Series: Encyclopedia of Mathematics and Its Applications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 232
Published: 30th August 1991
Country of Publication: GB
Dimensions (cm): 24.21 x 16.26  x 2.06
Weight (kg): 0.5

Earn 727 Qantas Points
on this Book