A characterization of the Dirac Dual Dirac Method
K-Theory and Homology
2007-05-23 v1
Abstract
Let G be a discrete, torsion free group with a finite dimensional classifying space BG. We show that the existence of a gamma-element for such G is a metric, that is, coarse, invariant of G. We also obtain results for groups with torsion. The method of proof involves showing that a group G possesses a gamma-element if and only if a certain coarse (co)-assembly map is an isomorphism.
Keywords
Cite
@article{arxiv.math/0311349,
title = {A characterization of the Dirac Dual Dirac Method},
author = {Heath Emerson and Ralf Meyer},
journal= {arXiv preprint arXiv:math/0311349},
year = {2007}
}