C*-algebra extensions and K-homology
Author(s)
Bibliographic Information
C*-algebra extensions and K-homology
（Annals of mathematics studies, no. 95）
Princeton University Press , University of Tokyo Press, 1980
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Note
Bibliography: p. 76-81
Includes indexes
Description and Table of Contents
Description
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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