Hyperfiniteness for group actions on trees
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Hyperfiniteness for group actions on trees. / Kunnawalkam Elayavalli, Srivatsav; Oyakawa, Koichi; Shinko, Forte; Spaas, Pieter.
I: Proceedings of the American Mathematical Society, Bind 152, Nr. 9, 2024, s. 3657-3664.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Hyperfiniteness for group actions on trees
AU - Kunnawalkam Elayavalli, Srivatsav
AU - Oyakawa, Koichi
AU - Shinko, Forte
AU - Spaas, Pieter
PY - 2024
Y1 - 2024
N2 - We identify natural conditions for a countable group acting on a countable tree which imply that the orbit equivalence relation of the induced action on the Gromov boundary is Borel hyperfinite. Examples of this condition include acylindrical actions. We also identify a natural weakening of the aforementioned conditions that implies measure hyperfiniteness of the boundary action. We then document examples of group actions on trees whose boundary action is not hyperfinite.
AB - We identify natural conditions for a countable group acting on a countable tree which imply that the orbit equivalence relation of the induced action on the Gromov boundary is Borel hyperfinite. Examples of this condition include acylindrical actions. We also identify a natural weakening of the aforementioned conditions that implies measure hyperfiniteness of the boundary action. We then document examples of group actions on trees whose boundary action is not hyperfinite.
U2 - 10.1090/proc/16851
DO - 10.1090/proc/16851
M3 - Journal article
VL - 152
SP - 3657
EP - 3664
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
SN - 0002-9939
IS - 9
ER -
ID: 399745912