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 is an active area of research, and one of the most ambitio...

Ausführliche Beschreibung

Bibliographische Detailangaben

1. Verfasser:	Sakai, Shôichirô 1928- (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Cambridge Cambridge University Press 1991
Schriftenreihe:	Encyclopedia of mathematics and its applications volume 41
Schlagworte:	C*-algebras Differentiable dynamical systems Harmonic analysis Operator theory C-Stern-Algebra Operatoralgebra Harmonische Analyse Differenzierbares dynamisches System
Online-Zugang:	BSB01 FHN01 Volltext
Zusammenfassung:	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 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 the C*-theory. The presentation, which is based on lectures given in Newcastle upon Tyne and Copenhagen, 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, he 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
Beschreibung:	Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Beschreibung:	1 online resource (xi, 219 pages)
ISBN:	9780511662218
DOI:	10.1017/CBO9780511662218