  We investigate when Isomorphism Conjectures, such as the ones due to
Baum-Connes, Bost and Farrell-Jones, are stable under colimits of groups over
directed sets (with not necessarily injective structure maps). We show in
particular that both the K-theoretic Farrell-Jones Conjecture and the Bost
Conjecture with coefficients hold for those groups for which Higson, Lafforgue
and Skandalis have disproved the Baum-Connes Conjecture with coefficients.
