Ronald G. Douglas

C*-Algebra Extensions and K-Homology. (AM-95), Volume 95 (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

Produktdetails

• Verlag: Princeton University Press
• Seitenzahl: 96
• Erscheinungstermin: 2. März 2016
• Englisch
• ISBN-13: 9781400881468
• Artikelnr.: 44908273

Autorenporträt

Ronald G. Douglas