Groups acting properly on "bolic" spaces and the Novikov conjecture
Algebraic Geometry
2007-05-23 v1
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.
Cite
@article{arxiv.math/0402374,
title = {Groups acting properly on "bolic" spaces and the Novikov conjecture},
author = {Gennadi Kasparov and Georges Skandalis},
journal= {arXiv preprint arXiv:math/0402374},
year = {2007}
}
Comments
42 pages, published version