Cocycle superrigidity for median spaces of finite rank
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915402351640576 |
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| author | Ma, Biao Messaci, Lamine |
| author_facet | Ma, Biao Messaci, Lamine |
| contents | We systematically investigate cocycle superrigidity in the setting of finite rank median spaces for product groups and Kazhdan groups. By employing a dynamical approach to superrigidity, we establish, for a median space X of finite rank, the superrigidity of Isom(X)-valued cocycles for a product of locally compact second countable groups. In the case of actions by irreducible lattices in such product groups, this approach yields a novel proof of the superrigidity of homomorphisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_19043 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cocycle superrigidity for median spaces of finite rank Ma, Biao Messaci, Lamine Metric Geometry Dynamical Systems 51F99, 37B05, 57S30 We systematically investigate cocycle superrigidity in the setting of finite rank median spaces for product groups and Kazhdan groups. By employing a dynamical approach to superrigidity, we establish, for a median space X of finite rank, the superrigidity of Isom(X)-valued cocycles for a product of locally compact second countable groups. In the case of actions by irreducible lattices in such product groups, this approach yields a novel proof of the superrigidity of homomorphisms. |
| title | Cocycle superrigidity for median spaces of finite rank |
| topic | Metric Geometry Dynamical Systems 51F99, 37B05, 57S30 |
| url | https://arxiv.org/abs/2506.19043 |