Polynomially bounded cohomology and the Novikov Conjecture

Abstract

Using techniques developed for studying polynomially bounded cohomology, we show that the assembly map for $K_{\ast }^t({\ell }^1(G))$ is rationally injective for all finitely presented discrete groups $G$. This verifies the ${\ell }^1$-analogue of the Strong Novikov Conjecture for such groups.

This version updates a technical argument appearing in section 4.3

References in corpus (3)

• Embeddings of derived categories of bornological modules
• Combable groups have group cohomology of polynomial growth
• The isocohomological property, higher Dehn functions, and relatively hyperbolic groups