[PDF.69pm] C*-Algebra Extensions and K-Homology. (AM-95) (Annals of Mathematics Studies)

C*-Algebra Extensions and K-Homology. (AM-95) (Annals of Mathematics Studies)

[PDF.jf32] C*-Algebra Extensions and K-Homology. (AM-95) (Annals of Mathematics Studies)

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 | #4687014 in Books |  Princeton University Press |  1980-07-21 | Original language:English | PDF # 1 |  9.02 x.26 x5.98l,.41 | File type: PDF | 96 pages

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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 defin...

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