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

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by Ronald G. Douglas
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C*-Algebra Extensions and K-Homology. (AM-95) by Ronald G. 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.

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Ebook Details
Pages: 96
Size: 5.4 MB
Publisher: Princeton University Press
Date published:   2016
ISBN: 9781400881468 (DRM-PDF)

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Nonfiction > Mathematics > Algebra > Linear

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