An etale approach to the Novikov conjecture

Details An etale approach to the Novikov conjecture An etale approach to the Novikov conjecture

2005-09-27

arxiv.org/abs/math/0509644v2

Mathematics

Geometric Topology

Preprint of Max-Planck Institut fur Mathematik

Scientific paper

We show that the rational Novikov conjecture for a group $\Gamma$ of finite homological type follows from the mod 2 acyclicity of the Higson compactifcation of an E$\Gamma$. We then show that for groups of finite asymptotic dimension the Higson compactification is mod p acyclic for all p, and deduce the integral Novikov conjecture for these groups.

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