| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4592874 | Journal of Functional Analysis | 2006 | 30 Pages |
Abstract
In this paper we consider a family of Dirac-type operators on fibration P→B equivariant with respect to an action of an étale groupoid. Such a family defines an element in the bivariant K theory. We compute the action of the bivariant Chern character of this element on the image of Connes' map Φ in the cyclic cohomology. A particular case of this result is Connes' index theorem for étale groupoids [A. Connes, Noncommutative Geometry, Academic Press, 1994] in the case of fibrations.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
