A localization algebra approach to the Baum-Connes conjecture for extensions
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908499854753792 |
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| author | Zhang, Jianguo |
| author_facet | Zhang, Jianguo |
| contents | For an extension $1\rightarrow N \rightarrow Γ\xrightarrow{q} Γ/ N \rightarrow 1$ of discrete countable groups, it is known that the Baum-Connes conjecture with coefficients holds for $Γ$ if it holds for $Γ/ N$ and $q^{-1}(F)$ for any finite subgroup $F$ of $Γ/ N$. In this paper, we employ a localization algebra approach to prove this result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_18446 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A localization algebra approach to the Baum-Connes conjecture for extensions Zhang, Jianguo Operator Algebras Group Theory K-Theory and Homology For an extension $1\rightarrow N \rightarrow Γ\xrightarrow{q} Γ/ N \rightarrow 1$ of discrete countable groups, it is known that the Baum-Connes conjecture with coefficients holds for $Γ$ if it holds for $Γ/ N$ and $q^{-1}(F)$ for any finite subgroup $F$ of $Γ/ N$. In this paper, we employ a localization algebra approach to prove this result. |
| title | A localization algebra approach to the Baum-Connes conjecture for extensions |
| topic | Operator Algebras Group Theory K-Theory and Homology |
| url | https://arxiv.org/abs/2506.18446 |