Asymptotic dimension and hyperfiniteness of generic Cantor actions
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912015319040000 |
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| author | Iyer, Sumun Shinko, Forte |
| author_facet | Iyer, Sumun Shinko, Forte |
| contents | We show that for a countable discrete group which is locally of finite asymptotic dimension, the generic continuous action on Cantor space has hyperfinite orbit equivalence relation. In particular, this holds for free groups, answering a question of Frisch-Kechris-Shinko-Vidnyánszky. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_03078 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Asymptotic dimension and hyperfiniteness of generic Cantor actions Iyer, Sumun Shinko, Forte Logic Dynamical Systems We show that for a countable discrete group which is locally of finite asymptotic dimension, the generic continuous action on Cantor space has hyperfinite orbit equivalence relation. In particular, this holds for free groups, answering a question of Frisch-Kechris-Shinko-Vidnyánszky. |
| title | Asymptotic dimension and hyperfiniteness of generic Cantor actions |
| topic | Logic Dynamical Systems |
| url | https://arxiv.org/abs/2409.03078 |