Hyperfiniteness for group actions on trees

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Standard

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

Harvard

Kunnawalkam Elayavalli, S, Oyakawa, K, Shinko, F & Spaas, P 2024, 'Hyperfiniteness for group actions on trees', Proceedings of the American Mathematical Society, bind 152, nr. 9, s. 3657-3664. https://doi.org/10.1090/proc/16851

APA

Kunnawalkam Elayavalli, S., Oyakawa, K., Shinko, F., & Spaas, P. (2024). Hyperfiniteness for group actions on trees. Proceedings of the American Mathematical Society, 152(9), 3657-3664. https://doi.org/10.1090/proc/16851

Vancouver

Kunnawalkam Elayavalli S, Oyakawa K, Shinko F, Spaas P. Hyperfiniteness for group actions on trees. Proceedings of the American Mathematical Society. 2024;152(9):3657-3664. https://doi.org/10.1090/proc/16851

Author

Kunnawalkam Elayavalli, Srivatsav ; Oyakawa, Koichi ; Shinko, Forte ; Spaas, Pieter. / Hyperfiniteness for group actions on trees. I: Proceedings of the American Mathematical Society. 2024 ; Bind 152, Nr. 9. s. 3657-3664.

Bibtex

@article{4b78638418e54d56b1faa0248771293f,
title = "Hyperfiniteness for group actions on trees",
abstract = "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.",
author = "{Kunnawalkam Elayavalli}, Srivatsav and Koichi Oyakawa and Forte Shinko and Pieter Spaas",
year = "2024",
doi = "10.1090/proc/16851",
language = "English",
volume = "152",
pages = "3657--3664",
journal = "Proceedings of the American Mathematical Society",
issn = "0002-9939",
publisher = "American Mathematical Society",
number = "9",

}

RIS

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