Groups acting properly on "bolic" spaces and the Novikov conjecture
Kasparov, Gennadi · Skandalis, Georges
Original · EN
We introduce a class of metric spaces which we call "bolic". They include hyperbolic spaces, simply conneccted complete manifolds of nonpositive curvature, euclidean buildings, etc. We prove the Novikov conjecture on higher signatures for any discrete group which admits a proper isometric action on a "bolic", weakly geodesic metric space of bounded geometry.
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