bokomslag Introduction To The Classification Of Amenable C*-algebras, An
Vetenskap & teknik

Introduction To The Classification Of Amenable C*-algebras, An

Huaxin Lin

Inbunden

2579:-

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  • 332 sidor
  • 2001
The theory and applications of C-algebras are related to fields ranging from operator theory, group representations and quantum mechanics, to non-commutative geometry and dynamical systems. By Gelfand transformation, the theory of C-algebras is also regarded as non-commutative topology. About a decade ago, George A. Elliott initiated the program of classification of C-algebras (up to isomorphism) by their K-theoretical data. It started with the classification of AT-algebras with real rank zero. Since then great efforts have been made to classify amenable C-algebras, a class of C-algebras that arises most naturally. For example, a large class of simple amenable C-algebras is discovered to be classifiable. The application of these results to dynamical systems has been established.This book introduces the recent development of the theory of the classification of amenable C-algebras the first such attempt. The first three chapters present the basics of the theory of C-algebras which are particularly important to the theory of the classification of amenable C-algebras. Chapter 4 otters the classification of the so-called AT-algebras of real rank zero. The first four chapters are self-contained, and can serve as a text for a graduate course on C-algebras. The last two chapters contain more advanced material. In particular, they deal with the classification theorem for simple AH-algebras with real rank zero, the work of Elliott and Gong. The book contains many new proofs and some original results related to the classification of amenable C-algebras. Besides being as an introduction to the theory of the classification of amenable C-algebras, it is a comprehensive reference for those more familiar with the subject.
  • Författare: Huaxin Lin
  • Format: Inbunden
  • ISBN: 9789810246808
  • Språk: Engelska
  • Antal sidor: 332
  • Utgivningsdatum: 2001-11-01
  • Förlag: World Scientific Publishing Co Pte Ltd