The amenability of affine algebras

Mathematics – Rings and Algebras

Scientific paper

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Scientific paper

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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