Foliated group actions and cyclic cohomology
K-Theory and Homology
2011-04-26 v3 Geometric Topology
Abstract
We prove a cyclic Lefschetz formula for foliations. To this end, we define a notion of equivariant cyclic cohomology and show that its expected pairing with K-theory is well defined. This enables to associate to any invariant transverse current on a compact foliated manifold, a Lefschetz formula for leafwise preserving isometries.
Keywords
Cite
@article{arxiv.math/0012234,
title = {Foliated group actions and cyclic cohomology},
author = {Moulay-Tahar Benameur},
journal= {arXiv preprint arXiv:math/0012234},
year = {2011}
}
Comments
This paper has been withdrawn by the author