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Amenable purely infinite actions on the non-compact Cantor set
Part of:
Selfadjoint operator algebras
Published online by Cambridge University Press: 20 November 2018
Abstract
We prove that any countable non-amenable group $\unicode[STIX]{x1D6E4}$ admits a free, minimal, amenable, purely infinite action on the non-compact Cantor set. This answers a question of Kellerhals, Monod and Rørdam [Non-supramenable groups acting on locally compact spaces. Doc. Math.18 (2013), 1597–1626].
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- © Cambridge University Press, 2018
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