Amenable purely infinite actions on the non-compact Cantor set

Elek, Gabor (2018) Amenable purely infinite actions on the non-compact Cantor set. Ergodic Theory and Dynamical Systems. ISSN 0143-3857

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Abstract

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].

Item Type:
Journal Article
Journal or Publication Title:
Ergodic Theory and Dynamical Systems
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600
Subjects:
ID Code:
127771
Deposited By:
Deposited On:
26 Sep 2018 09:22
Refereed?:
Yes
Published?:
Published
Last Modified:
31 Mar 2020 05:45