C*-Algebra Extensions and K-Homology. (Am-95), Volume 95

By Ronald Douglas

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.

• Format: Paperback
• Language: English
• ISBN: 0691082669
• ISBN13: 9780691082660
• Release Date: July 1980
• Publisher: Princeton University Press
• Length: 96 Pages
• Weight: 0.41 lbs.
• Dimensions: 0.3" x 6.1" x 9.2"