Radu groups acting on trees are CCR
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866912124599533568 |
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| author | Semal, Lancelot |
| author_facet | Semal, Lancelot |
| contents | We classify the irreducible unitary representations of closed simple groups of automorphisms of trees acting $2$-transitively on the boundary and whose local action at every vertex contains the alternating group. As an application, we confirm Claudio Nebbia's CCR conjecture on trees for $(d_0,d_1)$-semi-regular trees such that $d_0,d_1\in Θ$, where $Θ$ is an asymptotically dense set of positive integers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_04189 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Radu groups acting on trees are CCR Semal, Lancelot Group Theory Representation Theory 22D12, 20E08, 57M07, 51E24 We classify the irreducible unitary representations of closed simple groups of automorphisms of trees acting $2$-transitively on the boundary and whose local action at every vertex contains the alternating group. As an application, we confirm Claudio Nebbia's CCR conjecture on trees for $(d_0,d_1)$-semi-regular trees such that $d_0,d_1\in Θ$, where $Θ$ is an asymptotically dense set of positive integers. |
| title | Radu groups acting on trees are CCR |
| topic | Group Theory Representation Theory 22D12, 20E08, 57M07, 51E24 |
| url | https://arxiv.org/abs/2203.04189 |