Strong bolicity and the Baum-Connes conjecture for relatively hyperbolic groups
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866918263141695488 |
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| author | Lajoinie-Dodel, Hermès |
| author_facet | Lajoinie-Dodel, Hermès |
| contents | We construct a strongly bolic metric for a certain class of relatively hyperbolic groups, which includes those with CAT(0) parabolics and virtually abelian parabolics. If we further assume that the parabolics satisfy (RD), applying a theorem of Lafforgue, we deduce the Baum-Connes conjecture for these groups. One of the key ingredients in our construction is the use of random coset representatives called masks, developed by Chatterji and Dahmani. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_21169 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Strong bolicity and the Baum-Connes conjecture for relatively hyperbolic groups Lajoinie-Dodel, Hermès Group Theory Geometric Topology Metric Geometry 20F65, 20F67, 58B34 We construct a strongly bolic metric for a certain class of relatively hyperbolic groups, which includes those with CAT(0) parabolics and virtually abelian parabolics. If we further assume that the parabolics satisfy (RD), applying a theorem of Lafforgue, we deduce the Baum-Connes conjecture for these groups. One of the key ingredients in our construction is the use of random coset representatives called masks, developed by Chatterji and Dahmani. |
| title | Strong bolicity and the Baum-Connes conjecture for relatively hyperbolic groups |
| topic | Group Theory Geometric Topology Metric Geometry 20F65, 20F67, 58B34 |
| url | https://arxiv.org/abs/2512.21169 |