An etale approach to the Novikov conjecture

A. Dranishnikov; S. Ferry; S. Weinberger

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An etale approach to the Novikov conjecture

A. Dranishnikov·S. Ferry·S. Weinberger

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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 E$Γ$. 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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BibTeX RIS

A. Dranishnikov, S. Ferry, S. Weinberger. 2005-10-10. An etale approach to the Novikov conjecture. https://arxiv.org/abs/math/0509644

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