An etale approach to the Novikov conjecture

Abstract

We show that the rational Novikov conjecture for a group of finite homological type follows from the mod 2 acyclicity of the Higson compactifcation of an E. 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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