A Schur multiplier characterization of coarse embeddability
Group Theory
2016-09-19 v1 Metric Geometry
Abstract
We give a contractive Schur multiplier characterization of locally compact groups coarsely embeddable into Hilbert spaces. Consequently, all locally compact groups whose weak Haagerup constant is 1 embed coarsely into Hilbert spaces, and hence the Baum-Connes assembly map with coefficients is split-injective for such groups.
Cite
@article{arxiv.1505.01364,
title = {A Schur multiplier characterization of coarse embeddability},
author = {Søren Knudby and Kang Li},
journal= {arXiv preprint arXiv:1505.01364},
year = {2016}
}
Comments
6 pages. Final version. To appear in Bull. Bel. Math. Soc. arXiv admin note: substantial text overlap with arXiv:1408.5238