2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/157803This paper continues math.GR/0608302's study of amenability of affine algebras (based on the notion of almost-invariant finite-dimensional subspace), and applies it to graded algebras associated with finitely generated groups. Due to a mistake in Lemma 4.3, the main statements of the present paper should not be considered as proven. The results in Sections 2 and 3 are nevertheless valid.12 pages, 1 pdf figureGroup TheoryRings and Algebrastext