Hyperfiniteness of the boundary action of virtually special groups
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916934434422784 |
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| author | Oyakawa, Koichi |
| author_facet | Oyakawa, Koichi |
| contents | We prove that for any countable group acting virtually specially on a CAT(0) cube complex, the orbit equivalence relation induced by its action on the Roller boundary is hyperfinite. This can be considered as a generalization of hyperfiniteness of the boundary action of cubulated hyperbolic groups by Huang-Sabok-Shinko. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_04613 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hyperfiniteness of the boundary action of virtually special groups Oyakawa, Koichi Group Theory Geometric Topology Logic We prove that for any countable group acting virtually specially on a CAT(0) cube complex, the orbit equivalence relation induced by its action on the Roller boundary is hyperfinite. This can be considered as a generalization of hyperfiniteness of the boundary action of cubulated hyperbolic groups by Huang-Sabok-Shinko. |
| title | Hyperfiniteness of the boundary action of virtually special groups |
| topic | Group Theory Geometric Topology Logic |
| url | https://arxiv.org/abs/2509.04613 |