Hypereuclidean Manifolds and Expanders
نویسندگان
چکیده
We show that the Cayley graph of the fundamental group of a closed aspherical manifold with the hypereuclidean universal cover cannot contain an expander. This rules out for recent Gromov’s examples of exotic groups an approach to the Novikov Conjecture via the hypereuclideanness developed by Connes, Gromov and Moscovici [G],[CGM] and in a different languages by Ferry and Weinberger [FW],[DF], and by Harder [Ha]. §
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