| C*-Algebra Extensions and K-Homology. (Am-95), Volume 95 Contributor(s): Douglas, Ronald G. (Author) |
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ISBN: 0691082669 ISBN-13: 9780691082660 Publisher: Princeton University Press OUR PRICE: $62.70 Product Type: Paperback - Other Formats Published: July 1980 |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - Linear - Science |
| Dewey: 512.55 |
| LCCN: 80000424 |
| Series: Annals of Mathematics Studies (Paperback) |
| Physical Information: 0.34" H x 6.06" W x 9.2" (0.41 lbs) 96 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |