Operator Algebras in Dynamical Systems (Encyclopedia of Mathematics and its Applications) - The Theory of Unbounded Derivations in C*-Algebras - Shtichirt Sakai, Shoichiro Sakai (1991)
ISBN 0521400961
Subject C*-algebras; Differentiable dynamical systems; Harmonic analysis; Operator theory
Publisher Cambridge University Press
Publication Date 8/30/1991
Format Hardcover (243 x 164 mm)
Language e
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.
Personal Details
Collection Status In Collection
Index 371
Read It Yes
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Product Details
LoC Classification QA326.S26 1991
Dewey 512/.55
Cover Price $110.00
No. of Pages 231