Libros > C*-Algebra Extensions and K-Homology. (AM-95) (Ebook)
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C*-algebra Extensions and K-homology. (am-95) (ebook)

Autor:Ronald G. Douglas;
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ISBN: EB9781400881468
Princeton University Press nos ofrece C*-algebra Extensions and K-homology. (am-95) (ebook) en inglés, disponible en nuestra tienda desde el 02 de Marzo del 2016.
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Argumento de C*-algebra Extensions and K-homology. (am-95) (ebook)

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.0

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