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math.DS2021
Polynomial growth, comparison, and the small boundary property
Petr Naryshkin
We show that a minimal action of a finitely generated group of polynomial growth on a compact metrizable space has comparison. It follows that if such an action has the small bound…
math.DS2021★ 2 cited
Elementary amenability and almost finiteness
David Kerr, Petr Naryshkin
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…