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  • 1803.01917

    Rights statement: 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.

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    Available under license: CC BY-NC: Creative Commons Attribution-NonCommercial 4.0 International License

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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>1/06/2020
<mark>Journal</mark>Ergodic Theory and Dynamical Systems
Issue number6
Volume40
Number of pages15
Pages (from-to)1619-1633
Publication statusE-pub ahead of print
Early online date20/11/18
Original languageEnglish

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].

Bibliographic note

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.