On Amenability of Group Algebras, I

Details On Amenability of Group Algebras, I On Amenability of Group Algebras, I

2006-08-13

arxiv.org/abs/math/0608302v2

Israel J. Math. 168 (2008), 153--165

Mathematics

Group Theory

9 pages, no figure; proof extended from v1, including amenability of modules

Scientific paper

10.1007/s11856-008-1061-7

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.

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