C*-Algebra Extensions and K-Homology. (AM-95)
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 metrizabl...
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| Format: | eBook |
| Language: | English |
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Princeton, NJ
Princeton University Press
2016, [2016]©1980
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| Series: | Annals of Mathematics Studies
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| Subjects: | |
| Online Access: | |
| Collection: | DeGruyter MPG Collection - Collection details see MPG.ReNa |
| Summary: | 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 |
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| Item Description: | Mode of access: Internet via World Wide Web |
| Physical Description: | online resource |
| ISBN: | 9781400881468 |