Operator Algebras in Dynamical Systems Shoichiro Sakai

ISBN: 9780521060219

Published: February 4th 2008

Paperback

232 pages


Description

Operator Algebras in Dynamical Systems  by  Shoichiro Sakai

Operator Algebras in Dynamical Systems by Shoichiro Sakai
February 4th 2008 | Paperback | PDF, EPUB, FB2, DjVu, AUDIO, mp3, RTF | 232 pages | ISBN: 9780521060219 | 10.74 Mb

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 anMoreThis 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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