Mathematics

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

Paperback

Price:
$60.00 / £50.00
ISBN:
Published:
07/21/1980
Copyright:
1980
Pages:
96
Size:
6 x 9 in.
Buy This

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.