Hyperbolic actions of higher-rank lattices come from rank-one factors
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866914992421339136 |
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| author | Bader, Uri Caprace, Pierre-Emmanuel Furman, Alex Sisto, Alessandro |
| author_facet | Bader, Uri Caprace, Pierre-Emmanuel Furman, Alex Sisto, Alessandro |
| contents | We study actions of higher rank lattices $Γ<G$ on hyperbolic spaces, and we show that all such actions satisfying mild properties come from the rank-one factors of $G$. In particular, all non-elementary actions on an unbounded hyperbolic space are of this type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_06431 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Hyperbolic actions of higher-rank lattices come from rank-one factors Bader, Uri Caprace, Pierre-Emmanuel Furman, Alex Sisto, Alessandro Group Theory We study actions of higher rank lattices $Γ<G$ on hyperbolic spaces, and we show that all such actions satisfying mild properties come from the rank-one factors of $G$. In particular, all non-elementary actions on an unbounded hyperbolic space are of this type. |
| title | Hyperbolic actions of higher-rank lattices come from rank-one factors |
| topic | Group Theory |
| url | https://arxiv.org/abs/2206.06431 |