Geodesic
Groups acting properly on “bolic” spaces and the Novikov conjecture
Gennadi Kasparov1 ; Georges Skandalis2
1 Institut de Mathématiques de Luminy, Marseille, France
2 Institut de Mathématiques de Jussieu, Université Denis Diderot (Paris VII), Paris, France
Annals of mathematics, Tome 158 (2003) no. 1, pp. 165-206.

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We introduce a class of metric spaces which we call “bolic”. They include hyperbolic spaces, simply connected 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.
DOI : 10.4007/annals.2003.158.165

Gennadi Kasparov 1 ; Georges Skandalis 2

1 Institut de Mathématiques de Luminy, Marseille, France
2 Institut de Mathématiques de Jussieu, Université Denis Diderot (Paris VII), Paris, France 
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Gennadi Kasparov; Georges Skandalis. Groups acting properly on “bolic” spaces and the Novikov conjecture. Annals of mathematics, Tome 158 (2003) no. 1, pp. 165-206. doi : 10.4007/annals.2003.158.165. http://geodesic.mathdoc.fr/articles/10.4007/annals.2003.158.165/

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