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Other titles in the Annals of Mathematics Studies series:

Annals of Mathematics Studies #95: C*-Algebra Extensions and K-Homology

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Annals of Mathematics Studies #95: C*-Algebra Extensions and K-Homology Cover

 

Synopses & Reviews

Publisher 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.

Product Details

ISBN:
9780691082660
Author:
Douglas, Ronald G.
Publisher:
Princeton University Press
Location:
Princeton
Subject:
General
Subject:
Algebra - Linear
Subject:
Algebra, homological
Subject:
K-theory
Subject:
Mathematics
Subject:
C algebras
Subject:
Mathematics-Linear Algebra
Copyright:
Edition Description:
Trade paper
Series:
Annals of Mathematics Studies (Paperback)
Series Volume:
(AM-95)
Publication Date:
July 1980
Binding:
TRADE PAPER
Grade Level:
College/higher education:
Language:
English
Illustrations:
Y
Pages:
96
Dimensions:
9.20x6.06x.34 in. .41 lbs.

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Related Subjects

Reference » Science Reference » General
Science and Mathematics » Geology » General
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Algebra » Linear Algebra

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