Author : Ronald G. Douglas
Publisher : Princeton University Press
ISBN 13 : 1400881463
Total Pages : 96 pages
Book Rating : 4.4/5 (8 download)
Book Synopsis C*-Algebra Extensions and K-Homology. (AM-95), Volume 95 by : Ronald G. Douglas
Download or read book C*-Algebra Extensions and K-Homology. (AM-95), Volume 95 written by Ronald G. Douglas and published by Princeton University Press. This book was released on 2016-03-02 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.