Polynomially bounded cohomology and the Novikov Conjecture

Details Polynomially bounded cohomology and the Novikov Conjecture Polynomially bounded cohomology and the Novikov Conjecture

2010-04-26

arxiv.org/abs/1004.4680v5

Mathematics

K-Theory and Homology

This version updates a technical argument appearing in section 4.3

Scientific paper

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.

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