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C*-Algebra Extensions and K-Homology. (AM-95), Volume 95 - Ronald G. Douglas - Bog

Bag om C*-Algebra Extensions and K-Homology. (AM-95), Volume 95

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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  • Sprog:
  • Engelsk
  • ISBN:
  • 9780691082660
  • Indbinding:
  • Paperback
  • Sideantal:
  • 96
  • Udgivet:
  • 21. juli 1980
  • Størrelse:
  • 152x229x6 mm.
  • Vægt:
  • 170 g.
  • 8-11 hverdage.
  • 17. januar 2025

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Beskrivelse af C*-Algebra Extensions and K-Homology. (AM-95), Volume 95

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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