Coarse assembly maps and exactness

Coarse assembly maps are the main players in important conjectures like coarse Baum-Connes or coarse Farrell-Jones. By the descent principle, these are intimately connected to the usual Baum-Connes and Farrell-Jones conjectures. In this talk I discuss a potential proof of these conjectures for exact (also called Property A) spaces resp. groups. This is work in progress with Ulrich Bunke.