Articles liés à An Introduction to K-Theory for C*-Algebras

An Introduction to K-Theory for C*-Algebras - Couverture rigide

Livre 36 sur 83: London Mathematical Society Student Texts

Rørdam, M.; Larsen, F.; Laustsen, N.

 
9780521783347: An Introduction to K-Theory for C*-Algebras
Couverture rigide
ISBN 10 : 0521783348 ISBN 13 : 9780521783347
Editeur : Cambridge University Press, 2000

Synopsis

Over the last 25 years K-theory has become an integrated part of the study of C*-algebras. This book gives an elementary introduction to this interesting and rapidly growing area of mathematics. Fundamental to K-theory is the association of a pair of Abelian groups, K0(A) and K1(A), to each C*-algebra A. These groups reflect the properties of A in many ways. This book covers the basic properties of the functors K0 and K1 and their interrelationship. Applications of the theory include Elliott's classification theorem for AF-algebras, and it is shown that each pair of countable Abelian groups arises as the K-groups of some C*-algebra. The theory is well illustrated with 120 exercises and examples, making the book ideal for beginning graduate students working in functional analysis, especially operator algebras, and for researchers from other areas of mathematics who want to learn about this subject.

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Présentation de l'éditeur

Over the last 25 years K-theory has become an integrated part of the study of C*-algebras. This book gives an elementary introduction to this interesting and rapidly growing area of mathematics. Fundamental to K-theory is the association of a pair of Abelian groups, K0(A) and K1(A), to each C*-algebra A. These groups reflect the properties of A in many ways. This book covers the basic properties of the functors K0 and K1 and their interrelationship. Applications of the theory include Elliott's classification theorem for AF-algebras, and it is shown that each pair of countable Abelian groups arises as the K-groups of some C*-algebra. The theory is well illustrated with 120 exercises and examples, making the book ideal for beginning graduate students working in functional analysis, especially operator algebras, and for researchers from other areas of mathematics who want to learn about this subject.

Revue de presse

'The textbook is a nice introduction to the subject preparing the ground for the study of more advanced texts.' H. Schröder, Zentralblatt für Mathematik

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
2000
Langue
anglais
ISBN 10 
0521783348
ISBN 13 
9780521783347
Reliure
Relié
Nombre de pages
256
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

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