An etale approach to the Novikov conjecture

By Alexander Dranishnikov, Steven C. Ferry, Shmuel Weinberger. 2005

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We show that the rational Novikov conjecture for a group Γ of finite homological type follows from the mod 2 acyclicity of the Higson compactification 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. © 2007 Wiley Periodicals, Inc.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/890ee43225a09acd61347f249142d5eeac05f839