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Asymptotic cyclic cohomology /

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The aim of cyclic cohomology theories is the approximation of K-theory by cohomology theories defined by natural chain complexes. The basic example is the approximation of topological K-theory by de Rham cohomology via the classical Chern character. A cyclic cohomology theory for operator algebras i...

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Bibliographic Details
Main Author: Puschnigg, Michael, 1959-
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin ; New York : Springer, [1996]
Series:Lecture notes in mathematics (Springer-Verlag) ; 1642.
Subjects:
Homology theory.
K-theory.
KK-theory.
Index theory (Mathematics)
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Introduction
  • The asymptotic homotopy category
  • Algebraic de Rham complexes
  • Cyclic cohomology
  • Homotopy properties of X-complexes
  • The analytic X-complexes.-The asymptotic X-complex
  • Asymptotic cohomology of dense subalgebras
  • Products
  • Exact sequences
  • K-Theory and asymptotic cohomology
  • Examples.