%0 Journal Article %T On Amenability of Group Algebras, I %A Laurent Bartholdi %J Mathematics %D 2006 %I arXiv %R 10.1007/s11856-008-1061-7 %X 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. %U http://arxiv.org/abs/math/0608302v2