C*-Algebra Extensions and K-Homology. (AM-95), Volume 95
Seiten
1980
Princeton University Press (Verlag)
978-0-691-08266-0 (ISBN)
Princeton University Press (Verlag)
978-0-691-08266-0 (ISBN)
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.
*Frontmatter, pg. i*Contents, pg. v*Preface, pg. vii*Chapter 1. An Overview, pg. 1*Chapter 2. Ext as a Group, pg. 13*Chapter 3. Ext as a Homotopy Functor, pg. 24*Chapter 4. Generalized Homology Theory and Periodicity, pg. 37*Chapter 5. Ext as K-Homology, pg. 53*Chapter 6. Index Theorems snd Novikov's Higher Signatures, pg. 64*References, pg. 76*Index, pg. 82*Index of Symbols, pg. 83*Backmatter, pg. 85
| Erscheint lt. Verlag | 21.7.1980 |
|---|---|
| Reihe/Serie | Annals of Mathematics Studies |
| Verlagsort | New Jersey |
| Sprache | englisch |
| Maße | 152 x 229 mm |
| Gewicht | 170 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| ISBN-10 | 0-691-08266-9 / 0691082669 |
| ISBN-13 | 978-0-691-08266-0 / 9780691082660 |
| Zustand | Neuware |
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