Bivariant Chern character and the longitudinal index theory
Differential Geometry
2007-05-23 v1 Operator Algebras
Abstract
In this paper we consider a family of Dirac-type operators on fibration equivariant with respect to an action of an etale groupoid. Such a family defines an element in the bivariant theory. We compute the action of the bivariant Chern character of this element on the image of Connes' map in the cyclic cohomology. A particular case of this result is Connes' index theorem for etale groupoids in the case of fibrations.
Keywords
Cite
@article{arxiv.math/0504092,
title = {Bivariant Chern character and the longitudinal index theory},
author = {Alexander Gorokhovsky},
journal= {arXiv preprint arXiv:math/0504092},
year = {2007}
}