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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: http://dx.doi.org/10.1090/memo/0348
MathSciNet review: 849938
MSC: Primary 46L80; Secondary 18F25, 19L47, 46M20, 55N15, 55S25, 55U20

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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