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Polynomially bounded cohomology and the Novikov Conjecture

Published 26 Apr 2010 in math.KT | (1004.4680v5)

Abstract: Using techniques developed for studying polynomially bounded cohomology, we show that the assembly map for $K_*t(\ell1(G))$ is rationally injective for all finitely presented discrete groups $G$. This verifies the $\ell1$-analogue of the Strong Novikov Conjecture for such groups.

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