Main C*-Algebra Extensions and K-Homology
C*-Algebra Extensions and K-Homology cover

C*-Algebra Extensions and K-Homology

5.0 / 5.0
0 comments

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.


Request Code : ZLIBIO1437543
Categories:
Year:
1980
Edition:
1
Publisher:
Princeton University Press
Language:
English
Pages:
96
ISBN 10:
0691082650
ISBN 13:
9780691082653
ISBN:
0691082650,9780691082653
Series:
Annals of Mathematics Studies 95

Comments of this book

There are no comments yet.