C*-Algebra Extensions and K-Homology. (AM-95), Volume 95
Seiten
1980
Princeton University Press (Verlag)
978-0-691-08265-3 (ISBN)
Princeton University Press (Verlag)
978-0-691-08265-3 (ISBN)
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Recent developments in diverse areas of mathematics suggest the study of a certain class of extensions of C*-algebras. Here, Ronald Douglas uses methods from homological algebra to study this collection of extensions. He first shows that equivalence classes of the extensions of the compact metrizable space X form an abelian group Ext (X). Second, he shows that the correspondence X ⃗ Ext (X) defines a homotopy invariant covariant functor which can then be used to define a generalized homology theory. Establishing the periodicity of order two, the author shows, following Atiyah, that a concrete realization of K-homology is obtained.
| Reihe/Serie | Annals of Mathematics Studies |
|---|---|
| Verlagsort | New Jersey |
| Sprache | englisch |
| Gewicht | 340 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| ISBN-10 | 0-691-08265-0 / 0691082650 |
| ISBN-13 | 978-0-691-08265-3 / 9780691082653 |
| Zustand | Neuware |
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