Asymptotically exact spaces and coarse assembly
Geometric Topology
2012-07-26 v2 Operator Algebras
Abstract
Between the category of exact metric spaces with bounded geometry (about which much is known) and the larger category of arbitrary exact metric spaces (about which little is known) lies the intermediate category of asymptotically exact metric spaces. We show that the coarse Baum-Connes assembly map is naturally split surjective for this class, with generally non-zero kernel.
Cite
@article{arxiv.1206.2843,
title = {Asymptotically exact spaces and coarse assembly},
author = {Ronghui Ji and Crichton Ogle and Bobby Ramsey},
journal= {arXiv preprint arXiv:1206.2843},
year = {2012}
}
Comments
This paper has been withdrawn due to an error in Theorem 6.7