Exactness and uniform embeddability of discrete groups
Operator Algebras
2007-05-23 v1 Group Theory
Abstract
We define a numerical quasi-isometry invariant of a finitely generated group, whose values parametrize the difference between the group being uniformly embeddable in a Hilbert space and the reduced C*-algebra of the group being exact.
Keywords
Cite
@article{arxiv.math/0309166,
title = {Exactness and uniform embeddability of discrete groups},
author = {Erik Guentner and Jerome Kaminker},
journal= {arXiv preprint arXiv:math/0309166},
year = {2007}
}
Comments
20 pages, Latex