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Polynomial growth, comparison, and the small boundary property - MaRDI portal

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Polynomial growth, comparison, and the small boundary property

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Publication:6374925

DOI10.1016/J.AIM.2022.108519arXiv2108.04670WikidataQ113880938 ScholiaQ113880938MaRDI QIDQ6374925

Author name not available (Why is that?)

Publication date: 10 August 2021

Abstract: 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 boundary property then it is almost finite and its C∗-crossed product is mathcalZ-stable, and consequently that such crossed products are classified by their Elliott invariant.





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