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Ronald G. Douglas
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دانلود کتاب C*-Algebra Extensions and K-Homology
by Ronald G. Douglas|
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عنوان فارسی: C * ضمیمهها جبر و K-هومولوژی |
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جزییات کتاب
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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