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C*-Algebra Extensions and K-Homology by Ronald G Douglas

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Summary

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, h

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C*-Algebra Extensions and K-Homology 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 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.
SKU Unavailable
ISBN 13 9780691082660
ISBN 10 0691082669
Title C*-Algebra Extensions and K-Homology
Author Ronald G Douglas
Series Annals Of Mathematics Studies
Condition Unavailable
Binding Type Paperback
Publisher Princeton University Press
Year published 1980-07-21
Number of pages 96
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.