By Ronald G. Douglas
Recent advancements in varied components of arithmetic recommend the examine of a definite category of extensions of C*-algebras. right here, Ronald Douglas makes use of equipment from homological algebra to review this selection of extensions. He first exhibits that equivalence periods of the extensions of the compact metrizable area X shape an abelian crew Ext (X). moment, he indicates that the correspondence X ? Ext (X) defines a homotopy invariant covariant functor which may then be used to outline a generalized homology conception. setting up the periodicity of order , the writer exhibits, following Atiyah, concrete cognizance of K-homology is obtained.
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