On quasi-homomorphism rigidity for lattices in simple algebraic groups
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911812095574016 |
|---|---|
| author | Dumas, Guillaume |
| author_facet | Dumas, Guillaume |
| contents | Property $(TTT)$ was introduced by Ozawa as a strengthening of Kazhdan's property $(T)$ and Burger and Monod's property $(TT)$. In this paper, we improve Ozawa's result by showing that any simple algebraic group of rank $\geq 2$ over a local field has property $(TTT)$. We also show that lattices in a second countable locally compact group inherits property $(TTT)$. Finally, we study to what extent Lie groups with infinite center fail to have properties $(TT)$ and $(TTT)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_16500 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On quasi-homomorphism rigidity for lattices in simple algebraic groups Dumas, Guillaume Functional Analysis Group Theory Property $(TTT)$ was introduced by Ozawa as a strengthening of Kazhdan's property $(T)$ and Burger and Monod's property $(TT)$. In this paper, we improve Ozawa's result by showing that any simple algebraic group of rank $\geq 2$ over a local field has property $(TTT)$. We also show that lattices in a second countable locally compact group inherits property $(TTT)$. Finally, we study to what extent Lie groups with infinite center fail to have properties $(TT)$ and $(TTT)$. |
| title | On quasi-homomorphism rigidity for lattices in simple algebraic groups |
| topic | Functional Analysis Group Theory |
| url | https://arxiv.org/abs/2403.16500 |