Guardat en:
| Autor principal: | |
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| Format: | Preprint |
| Publicat: |
2024
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| Matèries: | |
| Accés en línia: | https://arxiv.org/abs/2410.11707 |
| Etiquetes: |
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Taula de continguts:
- We obtain an operator algebraic characterization of the noncommutative Furstenberg-Poisson boundary $\operatorname{L}(Γ) \subset \operatorname{L}(Γ\curvearrowright B)$ associated with an admissible probability measure $μ\in \operatorname{Prob}(Γ)$ for which the $(Γ, μ)$-Furstenberg-Poisson boundary $(B, ν_B)$ is uniquely $μ$-stationary. This is a noncommutative generalization of Nevo-Sageev's structure theorem [NS11]. We apply this result in combination with previous works to provide further evidence towards Connes' rigidity conjecture for higher rank lattices.