Amenable purely infinite actions on the non-compact Cantor set

Elek, Gabor (2020) Amenable purely infinite actions on the non-compact Cantor set. Ergodic Theory and Dynamical Systems, 40 (6). pp. 1619-1633. ISSN 0143-3857

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Abstract

We prove that any countable non-amenable group Γ 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
Additional Information:
https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/amenable-purely-infinite-actions-on-the-noncompact-cantor-set/69C1CEF6231F8B0F3EBE72BF689103E7 The final, definitive version of this article has been published in the Journal, Ergodic Theory and Dynamical Systems, 40 (6), pp 1619-1633 2020, © 2020 Cambridge University Press.
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:
22 Nov 2020 05:57