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Equivariant K-theory and freeness of group actions on C*-algebras /

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Freeness of an action of a compact Lie group on a compact Hausdorff space is equivalent to a simple condition on the corresponding equivariant K-theory. This fact can be regarded as a theorem on actions on a commutative C*-algebra, namely the algebra of continuous complex-valued functions on the spa...

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Bibliographic Details
Main Author: Phillips, N. Christopher (Norman Christopher), 1956-
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin ; New York : Springer-Verlag, [1987]
Series:Lecture notes in mathematics (Springer-Verlag) ; 1274.
Subjects:
K-theory.
C*-algebras.
Lie groups.
K-théorie.
C*-algèbres.
Lie, Groupes de.
K-theorie.
C*-algebra's.
K-Theorie.
C-Stern-Algebra.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Introduction: The Commutative Case
  • Equivariant K-Theory of C*-Algebras
  • Introduction to Equivariant KK-Theory
  • Basic Properties of K-Freeness
  • Subgroups
  • Tensor Products
  • K-Freeness, Saturation, and the Strong Connes Spectrum
  • Type I Algebras
  • AF Algebras
  • References
  • Author Reference Index
  • Index of Notation
  • Subject Index.