Groups acting amenably on their Higson corona
K-Theory and Homology
2026-03-11 v1 Operator Algebras
Abstract
We investigate groups that act amenably on their Higson corona (also known as bi-exact groups) and we provide reformulations of this in relation to the stable Higson corona, nuclearity of crossed products and to positive type kernels. We further investigate implications of this in relation to the Baum-Connes conjecture, and prove that Gromov hyperbolic groups have isomorphic equivariant K-theories of their Gromov boundary and their stable Higson corona.
Cite
@article{arxiv.2408.02997,
title = {Groups acting amenably on their Higson corona},
author = {Alexander Engel},
journal= {arXiv preprint arXiv:2408.02997},
year = {2026}
}