The higher fixed point theorem for foliations I. Holonomy invariant currents
K-Theory and Homology
2010-04-01 v2
Abstract
In this paper, we prove a higher Lefschetz formula for foliations in the presence of a closed Haefliger current. We associate with such a current an equivariant cyclic cohomology class of Connes' C*-algebra of the foliation, and compute its pairing with the localized equivariant K-theory in terms of local contributions near the fixed points. As special cases, we recover a number of classical results, and since we may use any closed Haefliger current on the foliation, we get new and very interesting formulae.
Keywords
Cite
@article{arxiv.0911.3602,
title = {The higher fixed point theorem for foliations I. Holonomy invariant currents},
author = {Moulay-Tahar Benameur and James L. Heitsch},
journal= {arXiv preprint arXiv:0911.3602},
year = {2010}
}
Comments
This is an updated version of the paper submitted in November 2009. It will appear in the Journal of Functional Analysis.