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  • 1803.01917

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Amenable purely infinite actions on the non-compact Cantor set

Research output: Contribution to journalJournal article

E-pub ahead of print
<mark>Journal publication date</mark>20/11/2018
<mark>Journal</mark>Ergodic Theory and Dynamical Systems
Publication statusE-pub ahead of print
Early online date20/11/18
Original languageEnglish


We prove that any countable non-amenable group G admits a free minimal amenable purely infinite action on the non-compact Cantor set. This answers a question of Kellerhals, Monod and Rordam [Non-supramenable groups acting on locally compact spaces. Doc. Math.18 (2013), 1597–1626].