The amenability of affine algebras
classification
🧮 math.RA
keywords
affinealgebrasamenabilityamenablecharacterizedimension-measuresexistenceextend
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We introduce the notion of amenability for affine algebras. We characterize amenability by Folner-sequences, paradoxicality and the existence of finitely invariant dimension-measures. Then we extend the results of Rowen on ranks, from affine algebras of subexponential growth to amenable affine algebras.
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