Retraction Theorems for Group Compactifications
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909783607476224 |
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| author | Hartman, Yair Hrušková, Aranka Kalantar, Mehrdad Zimhoni, Tomer |
| author_facet | Hartman, Yair Hrušková, Aranka Kalantar, Mehrdad Zimhoni, Tomer |
| contents | We characterize group compactifications of discrete groups for which there exists an equivariant retraction onto the boundary. In particular, we prove an equivariant analogue of Brouwer's No-Retraction theorem for large classes of group compactifications, which includes actions of hyperbolic groups on their Gromov boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_10072 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Retraction Theorems for Group Compactifications Hartman, Yair Hrušková, Aranka Kalantar, Mehrdad Zimhoni, Tomer Group Theory Dynamical Systems We characterize group compactifications of discrete groups for which there exists an equivariant retraction onto the boundary. In particular, we prove an equivariant analogue of Brouwer's No-Retraction theorem for large classes of group compactifications, which includes actions of hyperbolic groups on their Gromov boundary. |
| title | Retraction Theorems for Group Compactifications |
| topic | Group Theory Dynamical Systems |
| url | https://arxiv.org/abs/2509.10072 |