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The Künneth theorem and the universal coefficient theorem for equivariant $K$-theory and $KK$-theory
About this Title
Jonathan Rosenberg and Claude Schochet
Publication: Memoirs of the American Mathematical Society
Publication Year:
1986; Volume 62, Number 348
ISBNs: 978-0-8218-2349-1 (print); 978-1-4704-0764-3 (online)
DOI: https://doi.org/10.1090/memo/0348
MathSciNet review: 849938
MSC: Primary 46L80; Secondary 18F25, 19L47, 46M20, 55N15, 55S25, 55U20
Table of Contents
Chapters
- 1. Introduction
- 2. Fundamental families
- 3. The Künneth spectral sequence: special cases
- 4. Geometric projective resolutions
- 5. Construction of the Künneth spectral sequence
- 6. Some consequences of the Künneth spectral sequence
- 7. The Universal Coefficient spectral sequence: special cases
- 8. Geometric injective resolutions
- 9. Construction of the Universal Coefficient spectral sequence
- 10. Applications: $\textit {KK}^G$-equivalence
- 11. Applications: $\operatorname {mod}p$ $K$-theory