Characterization of the Haagerup property for residually amenable groups
Group Theory
2016-05-17 v1 Metric Geometry
Abstract
The notions of a box family and fibred cofinitely-coarse embedding are introduced. The countable, residually amenable groups satisfying the Haagerup property are then characterized as those possessing a box family that admits a fibred cofinitely-coarse embedding into a Hilbert space. This is a generalization of a result of X. Chen, Q. Wang and X. Wang on residually finite groups.
Keywords
Cite
@article{arxiv.1605.04830,
title = {Characterization of the Haagerup property for residually amenable groups},
author = {Kamil Orzechowski},
journal= {arXiv preprint arXiv:1605.04830},
year = {2016}
}
Comments
10 pages