Encyclopaedia of Mathematical Sciences

1 primary work

Cyclic Homology in Non-Commutative Geometry

by Joachim Cuntz, Georges Skandalis, and Boris Tsygan

Published 17 November 2003

Contributions by three authors treat aspects of noncommutative geometry that are related to cyclic homology. The authors give rather complete accounts of cyclic theory from different points of view. The connections between (bivariant) K-theory and cyclic theory via generalized Chern-characters are discussed in detail. Cyclic theory is the natural setting for a variety of general abstract index theorems. A survey of such index theorems is given and the concepts and ideas involved in these theorems are explained.