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C* Algebra Extensions And K Homology

Ronald G. Douglas

4/5 ( ratings)

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 . Second, he shows that the correspondence X ⃗ Ext 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.

Language: English

Pages: 96

Format: Hardcover

Publisher: Princeton University Press

Release: July 21, 1980

ISBN: 0691082650

ISBN 13: 9780691082653

C* Algebra Extensions And K Homology

Ronald G. Douglas

4/5 ( ratings)

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 . Second, he shows that the correspondence X ⃗ Ext 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.

Language: English

Pages: 96

Format: Hardcover

Publisher: Princeton University Press

Release: July 21, 1980

ISBN: 0691082650

ISBN 13: 9780691082653

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