Home > Research > Publications & Outputs > Amenable purely infinite actions on the non-com...

Electronic data

  • 1803.01917

    Accepted author manuscript, 216 KB, PDF-document

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

Links

Text available via DOI:

View graph of relations

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>20/11/2018
<mark>Journal</mark>Ergodic Theory and Dynamical Systems
Publication statusE-pub ahead of print
Early online date20/11/18
Original languageEnglish

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].