1. C*-Algebras and Operator Theory
2. Index Theory and Extensions
3. Completely Positive Maps
4. K-Theory
5. Duality Theory
6. Coarse Geometry and K-Homology
7. The Brown-Douglas-Fillmore Theorem
8. Kasparov's K-Homology
9. The Kasparov Product
10. Elliptic Differential Operators
11. Index Theory
12. Higher Index Theory
Appendix A. Gradings
Appendix B. Real K-Homology
References
Index
The book gives a well-written introduction to the essential ideas of analytic
K-homology and develops some of its applications. --
Mathematical Reviews