On finite local approximations of isometric actions of residually finite groups
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918249790177280 |
|---|---|
| author | Alekseev, Vadim Thom, Andreas |
| author_facet | Alekseev, Vadim Thom, Andreas |
| contents | We show that any isometric action of a residually finite group admits approximate local finite models. As a consequence, if $G$ is residually finite, every isometric $G$-action embeds isometrically into a metric ultraproduct of finite isometric $G$-actions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_14147 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On finite local approximations of isometric actions of residually finite groups Alekseev, Vadim Thom, Andreas Group Theory Metric Geometry We show that any isometric action of a residually finite group admits approximate local finite models. As a consequence, if $G$ is residually finite, every isometric $G$-action embeds isometrically into a metric ultraproduct of finite isometric $G$-actions. |
| title | On finite local approximations of isometric actions of residually finite groups |
| topic | Group Theory Metric Geometry |
| url | https://arxiv.org/abs/2512.14147 |