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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2304.04340 |
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| _version_ | 1866911757461618688 |
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| author | Kida, Yoshikata |
| author_facet | Kida, Yoshikata |
| contents | For certain HNN extensions including Baumslag-Solitar groups, a treeing is constructed from their certain probability-measure-preserving actions. This is a treeing of a quotient groupoid of the translation groupoid associated with their actions. As its application, for some of those HNN extensions, we show that the kernel of the modular homomorphism is measure equivalent to the direct product of the free group of infinite rank and Z. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_04340 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On treeings arising from HNN extensions Kida, Yoshikata Group Theory Dynamical Systems For certain HNN extensions including Baumslag-Solitar groups, a treeing is constructed from their certain probability-measure-preserving actions. This is a treeing of a quotient groupoid of the translation groupoid associated with their actions. As its application, for some of those HNN extensions, we show that the kernel of the modular homomorphism is measure equivalent to the direct product of the free group of infinite rank and Z. |
| title | On treeings arising from HNN extensions |
| topic | Group Theory Dynamical Systems |
| url | https://arxiv.org/abs/2304.04340 |