Cyclic Theory and the Bivariant Chern-Connes Character
Operator Algebras
2007-05-23 v1 K-Theory and Homology
Abstract
We give a survey of cyclic homology/cohomology theory including a detailed discussion of cyclic theories for various classes of topological algebras. We show how to associate cyclic classes with Fredholm modules and -theory classes and how to construct a completely general bivariant Chern-Connes character from bivariant -theory to bivariant cyclic theory.
Cite
@article{arxiv.math/0104006,
title = {Cyclic Theory and the Bivariant Chern-Connes Character},
author = {Joachim Cuntz},
journal= {arXiv preprint arXiv:math/0104006},
year = {2007}
}