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

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

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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

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Overview

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.

Product Details

ISBN-13:
9780691082660
Publisher:
Princeton University Press
Publication date:
07/01/1980
Series:
Annals of Mathematics Studies Series, #95
Pages:
96
Product dimensions:
6.06(w) x 9.20(h) x 0.34(d)

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