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C*-Algebra Extensions and K-Homology (Annals of Mathematics Studies) (in English)
Ronald G. Douglas (Author)
·
Princeton University Press
· Paperback
C*-Algebra Extensions and K-Homology (Annals of Mathematics Studies) (in English) - Ronald G. Douglas
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Synopsis "C*-Algebra Extensions and K-Homology (Annals of Mathematics Studies) (in English)"
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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The book is written in English.
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