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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Official URL: https://doi.org/10.1017/etds.2018.121

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:

?? APPLIED MATHEMATICSMATHEMATICS(ALL) ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

127771

Deposited By:

ep_importer_pure

Deposited On:

26 Sep 2018 09:22

Refereed?:

Yes

Published?:

Published

Last Modified:

18 Sep 2023 01:26

URI:

https://eprints.lancs.ac.uk/id/eprint/127771