Non-uniform higher-rank lattices are character rigid
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918107156578304 |
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| author | Dogon, Alon Glasner, Michael Gorfine, Yuval Hanany, Liam Levit, Arie |
| author_facet | Dogon, Alon Glasner, Michael Gorfine, Yuval Hanany, Liam Levit, Arie |
| contents | We establish character rigidity for all non-uniform higher-rank irreducible lattices in semisimple groups of characteristic other than 2. This implies stabilizer rigidity for probability measure preserving actions and rigidity of invariant random subgroups, confirming a conjecture of Stuck and Zimmer for non-uniform lattices in full generality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_21862 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-uniform higher-rank lattices are character rigid Dogon, Alon Glasner, Michael Gorfine, Yuval Hanany, Liam Levit, Arie Group Theory Dynamical Systems Operator Algebras Representation Theory 22E40, 22D25, 43A35, 37A15, 20G30 We establish character rigidity for all non-uniform higher-rank irreducible lattices in semisimple groups of characteristic other than 2. This implies stabilizer rigidity for probability measure preserving actions and rigidity of invariant random subgroups, confirming a conjecture of Stuck and Zimmer for non-uniform lattices in full generality. |
| title | Non-uniform higher-rank lattices are character rigid |
| topic | Group Theory Dynamical Systems Operator Algebras Representation Theory 22E40, 22D25, 43A35, 37A15, 20G30 |
| url | https://arxiv.org/abs/2507.21862 |