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.
General
| Imprint: |
Princeton University Press
|
| Country of origin: |
United States |
| Series: |
Annals of Mathematics Studies |
| Release date: |
July 1980 |
| First published: |
July 1980 |
| Authors: |
Ronald G. Douglas
|
| Dimensions: |
229 x 152 x 6mm (L x W x T) |
| Format: |
Paperback - Trade
|
| Pages: |
96 |
| ISBN-13: |
978-0-691-08266-0 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
Promotions
|
| LSN: |
0-691-08266-9 |
| Barcode: |
9780691082660 |
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