C*-Algebra Extensions and K-Homology. (AM-95), Volume 95
Princeton, NJ: Princeton University Press, [2016]
Online
Monographie, Elektronische Ressource
- 1 online resource (96 p.)
Ermittle Ausleihstatus...
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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C*-Algebra Extensions and K-Homology. (AM-95), Volume 95
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Verantwortlichkeitsangabe: | Ronald G. Douglas |
Autor/in / Beteiligte Person: | Douglas, Ronald G. |
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Veröffentlichung: | Princeton, NJ: Princeton University Press, [2016] |
Medientyp: | Monographie |
Datenträgertyp: | Elektronische Ressource |
Umfang: | 1 online resource (96 p.) |
ISBN: | 9781400881468 |
DOI: | 10.1515/9781400881468 |
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