An equivariant Lefschetz fixed-point formula for correspondences
K-Theory and Homology
2015-10-23 v1
Abstract
We compute the trace of an endomorphism in equivariant bivariant K-theory for a compact group G in several ways: geometrically using geometric correspondences, algebraically using localisation, and as a Hattori-Stallings trace. This results in an equivariant version of the classical Lefschetz fixed-point theorem, which applies to arbitrary equivariant correspondences, not just maps.
Cite
@article{arxiv.1303.4777,
title = {An equivariant Lefschetz fixed-point formula for correspondences},
author = {Ivo Dell'Ambrogio and Heath Emerson and Ralf Meyer},
journal= {arXiv preprint arXiv:1303.4777},
year = {2015}
}