An etale approach to the Novikov conjecture

2005/09/27 by Dranishnikov, A., Ferry, S., Weinberger, S.
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.math/0509644

Abstract

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