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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Accepted author manuscript
Final published version
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
}
TY - JOUR
T1 - Amenable purely infinite actions on the non-compact Cantor set
AU - Elek, Gabor
N1 - 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.
PY - 2020/6/1
Y1 - 2020/6/1
N2 - 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].
AB - 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].
U2 - 10.1017/etds.2018.121
DO - 10.1017/etds.2018.121
M3 - Journal article
VL - 40
SP - 1619
EP - 1633
JO - Ergodic Theory and Dynamical Systems
JF - Ergodic Theory and Dynamical Systems
SN - 0143-3857
IS - 6
ER -