On Amenability of Group Algebras, I
Group Theory
2009-11-27 v2 Rings and Algebras
Abstract
We study amenability of affine algebras (based on the notion of almost-invariant finite-dimensional subspace), and apply it to algebras associated with finitely generated groups. We show that a group G is amenable if and only if its group ring KG is amenable for some (and therefore for any) field K.
Cite
@article{arxiv.math/0608302,
title = {On Amenability of Group Algebras, I},
author = {Laurent Bartholdi},
journal= {arXiv preprint arXiv:math/0608302},
year = {2009}
}
Comments
9 pages, no figure; proof extended from v1, including amenability of modules