%0 Journal Article %T Polynomially bounded cohomology and the Novikov Conjecture %A C. Ogle %J Mathematics %D 2010 %I arXiv %X Using techniques developed for studying polynomially bounded cohomology, we show that the assembly map for $K_*^t(\ell^1(G))$ is rationally injective for all finitely presented discrete groups $G$. This verifies the $\ell^1$-analogue of the Strong Novikov Conjecture for such groups. %U http://arxiv.org/abs/1004.4680v5