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Mathematics  2006 

On Amenability of Group Algebras, I

DOI: 10.1007/s11856-008-1061-7

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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.

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