Hyperfiniteness for group actions on trees
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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.
Originalsprog | Engelsk |
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Tidsskrift | Proceedings of the American Mathematical Society |
Vol/bind | 152 |
Udgave nummer | 9 |
Sider (fra-til) | 3657-3664 |
ISSN | 0002-9939 |
DOI | |
Status | Udgivet - 2024 |
ID: 399745912