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Elementary amenability and almost finiteness

Published 12 Jul 2021 in math.DS and math.OA | (2107.05273v2)

Abstract: We show that every free continuous action of a countably infinite elementary amenable group on a finite-dimensional compact metrizable space is almost finite. As a consequence, the crossed products of minimal such actions are $\mathcal{Z}$-stable and classified by their Elliott invariant.

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Authors (2)

  1. David Kerr 
  2. Petr Naryshkin 

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