M. RÃ rdam (University of Copenhagen), F. Larsen (Denmark Odense Universitet), N. Laustsen (University of Leeds)

An Introduction to K-Theory for C*-Algebras

• Broschiertes Buch

Produktbeschreibung

Over the last 25 years K-theory has become an integrated part of the study of C -algebras. This book provides a very elementary introduction to this rapidly growing area, and is ideal for beginning graduate students working in functional analysis, especially operator algebras, and researchers from other areas of mathematics.

Produktdetails

• London Mathematical Society Student Texts
• Verlag: Cambridge University Press
• Seitenzahl: 256
• Erscheinungstermin: 31. August 2007
• Englisch
• Abmessung: 229mm x 152mm x 16mm
• Gewicht: 424g
• ISBN-13: 9780521789448
• ISBN-10: 0521789443
• Artikelnr.: 23174015

Inhaltsangabe

Preface
1. C*-algebra theory
2. Projections and unitary elements
3. The K0-group of a unital C*-algebra
4. The functor K0
5. The ordered Abelian group K0(A)
6. Inductive limit C*-algebras
7. Classification of AF-algebras
8. The functor K1
9. The index map
10. The higher K-functors
11. Bott periodicity
12. The six-term exact sequence
13. Inductive limits of dimension drop algebras
References
Table of K-groups
Index of symbols
General index.