Operator Algebras in Dynamical Systems : The Theory of Unbounded Derivations in C*-algebras (Paperback)

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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. *Author: Sakai, Shoichiro/ Sakai, Shtichirt *Series Title: Encyclopedia of Mathematics and Its Applications *Series Number: 41 *Binding Type: Paperback *Number of Pages: 232 *Publication Date: 2008/02/04 *Language: English *Dimensions: 6.14 x 9.21 x 0.48 inches

Specifications

Publisher Cambridge Univ Pr
Mfg Part# 9780521060219
SKU 206877508
Format Paperback
ISBN10 0521060214
Release Date 2/4/2008
Product Attributes
Book Format Paperback
Number of Pages 0232
Publisher Cambridge University Press
Series Part 41
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