Growth conditions for freeness of the Furstenberg boundary action
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908836802068480 |
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| author | Alam, Nazmul Gondek, Joseph Kalantar, Mehrdad Pham, Randy |
| author_facet | Alam, Nazmul Gondek, Joseph Kalantar, Mehrdad Pham, Randy |
| contents | Given a finitely generated group $Γ$ and $g\inΓ$, we prove sufficient conditions in terms of various growth/decay functions for freeness of the action of $g$ on the Furstenberg boundary of $Γ$. In this context, we also give a description of the support of stationary states on the reduced C*-algebra of $Γ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_15009 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Growth conditions for freeness of the Furstenberg boundary action Alam, Nazmul Gondek, Joseph Kalantar, Mehrdad Pham, Randy Operator Algebras Given a finitely generated group $Γ$ and $g\inΓ$, we prove sufficient conditions in terms of various growth/decay functions for freeness of the action of $g$ on the Furstenberg boundary of $Γ$. In this context, we also give a description of the support of stationary states on the reduced C*-algebra of $Γ$. |
| title | Growth conditions for freeness of the Furstenberg boundary action |
| topic | Operator Algebras |
| url | https://arxiv.org/abs/2602.15009 |