C*-algebra extensions and K-homology

書誌事項

C*-algebra extensions and K-homology

by Ronald G. Douglas

(Annals of mathematics studies, no. 95)(Tokyo University international edition, no. 168, 169)

Princeton University Press , University of Tokyo Press, 1980

  • : pbk

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注記

"This edition is authorized for sale only in Japan"--Colophon mounted on leaf at end of hardcover ed

Bibliography: p. 76-81

Includes indexes

内容説明・目次

内容説明

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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