Author | Blackadar, Bruce. author |
---|---|
Title | K-Theory for Operator Algebras [electronic resource] / by Bruce Blackadar |
Imprint | New York, NY : Springer New York, 1986 |
Connect to | http://dx.doi.org/10.1007/978-1-4613-9572-0 |
Descript | VII, 337 p. online resource |
I. Introduction To K-Theory -- 1. Survey of topological K-theory -- 2. Overview of operator K-theory -- II. Preliminaries -- 3. Local Banach algebras and inductive limits -- 4. Idempotents and equivalence -- III. K0-Theory and Order -- 5. Basi K0-theory -- 6. Order structure on K0 -- 7. Theory of AF algebras -- IV. K1-Theory and Bott Periodicity -- 8. Higher K-groups -- 9. Bott Periodicity -- V. K-Theory of Crossed Products -- 10. The Pimsner-Voiculescu exact sequence and Connesโ Thorn isomorphism -- 11. Equivariant K-theory -- VI. More Preliminaries -- 12. Multiplier algebras -- 13. Hilbert modules -- 14. Graded C*-algebras -- VII. Theory of Extensions -- 15. Basic theory of extensions -- 16. Brown-Douglas-Fillmore theory and other applications -- VIII. Kasparovโs KK-Theory -- 17. Basic theory -- 18. Intersection product -- 19. Further structure in KK-theory -- 20. Equivariant KK-theory -- IX. Further Topics -- 21. Homology and cohomology theories on C*-algebras -- 22. Axiomatic K-theory -- 23. Universal coefficient theorems and Kรผnneth theorems -- 24. Survey of applications to geometry and topology