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.
This book provides a very elementary introduction to K-theory for C*-algebras, and is ideal for beginning graduate students.
'The textbook is a nice introduction to the subject preparing the ground for the study of more advanced texts.' H. Schroeder, Zentralblatt fur Mathematik