Groups acting properly on "bolic" spaces and the Novikov conjecture

Gennadi Kasparov; Georges Skandalis

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arXiv · math/0402374

Groups acting properly on "bolic" spaces and the Novikov conjecture

Gennadi Kasparov·Georges Skandalis

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Abstract

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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Gennadi Kasparov, Georges Skandalis. 2004-02-23. Groups acting properly on "bolic" spaces and the Novikov conjecture. https://arxiv.org/abs/math/0402374

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