Non-strong ergodicity of canonical actions of the Thompson groups
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917015822794752 |
|---|---|
| author | Arimoto, Ryoya |
| author_facet | Arimoto, Ryoya |
| contents | We show that the canonical actions of the Thompson group V and its generalizations on the Cantor set are not strongly ergodic. This implies that the associated crossed product von Neumann algebras are not full. This also yields a non-embedding result for the Thompson groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_13309 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-strong ergodicity of canonical actions of the Thompson groups Arimoto, Ryoya Dynamical Systems Group Theory Operator Algebras We show that the canonical actions of the Thompson group V and its generalizations on the Cantor set are not strongly ergodic. This implies that the associated crossed product von Neumann algebras are not full. This also yields a non-embedding result for the Thompson groups. |
| title | Non-strong ergodicity of canonical actions of the Thompson groups |
| topic | Dynamical Systems Group Theory Operator Algebras |
| url | https://arxiv.org/abs/2510.13309 |