K-theory is often considered a complicated `specialist's' theory. This book is an introduction to the basics and provides detailed explanation of the various concepts required for a deeper understanding of the subject. Some familiarity with basic C*algebra theory is assumed and then follows a careful construction and analysis of the operator K-theory groups and proof of the results of K-theory, including Bott periodicity.
Of specific interest to algebraists and geometrists, the book aims to give full instruction. No details are left out in the presentation and many instructive and generously hinted exercises are provided.
Apart from K-theory, this book offers complete and self contained expositions of important advanced C*-algebraic constructions like tensor products, multiplier algebras and Hilbert modules.
Rezensionen / Stimmen
'no details are left out in the presentation, and many instructive and generously hinted exercises are provided'
L'Enseignement Mathematique, 3-4 1993 ... it is written in a very lively and user friendly style... Altogether I think this book is very recommendable as a first introduction to the subject. * Monatshefte fur Mathematik, 3 April 1995 *
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Illustrationen
Maße
Höhe: 241 mm
Breite: 161 mm
Dicke: 26 mm
Gewicht
ISBN-13
978-0-19-859694-3 (9780198596943)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Autor*in
Mathematics InstituteMathematics Institute, Universitetsparken, 2100 Copenhagen, Denmark
PART I: C*-ALGEBRAS ; PART II: FUNDAMENTALS OF K-THEORY ; PART III: HILBERT MODULES AND A GENERALIZED INDEX THEORY ; PART IV: APPENDICES