%0 Journal Article %T A remark on the Isomorphism Conjectures %A Crichton Ogle %A Shengkui Ye %J Mathematics %D 2011 %I arXiv %X We show that for various natural classes of groups and appropriately defined K- and L-theoretic functors, injectivity or bijectivity of the assembly map follows from the Isomorphism Conjecture being true for acyclic groups lying within that class. %U http://arxiv.org/abs/1109.6356v4