Free products of coarsely convex spaces and the coarse Baum-Connes conjecture
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866913187966746624 |
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| author | Fukaya, Tomohiro Matsuka, Takumi |
| author_facet | Fukaya, Tomohiro Matsuka, Takumi |
| contents | The first author and Oguni introduced a wide class of metric spaces, called coarsely convex spaces. It includes Gromov hyperbolic metric spaces, CAT(0) spaces, systolic complexes, proper injective metric spaces. We introduce the notion of free products of metric spaces and show that free products of symmetric geodesic coarsely convex spaces are also symmetric geodesic coarsely convex spaces. As an application, it follows that free products of symmetric geodesic coarsely convex spaces satisfy the coarse Baum-Connes conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_13701 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Free products of coarsely convex spaces and the coarse Baum-Connes conjecture Fukaya, Tomohiro Matsuka, Takumi Metric Geometry Primary 51F30, Secondary 20F65, 58B34 The first author and Oguni introduced a wide class of metric spaces, called coarsely convex spaces. It includes Gromov hyperbolic metric spaces, CAT(0) spaces, systolic complexes, proper injective metric spaces. We introduce the notion of free products of metric spaces and show that free products of symmetric geodesic coarsely convex spaces are also symmetric geodesic coarsely convex spaces. As an application, it follows that free products of symmetric geodesic coarsely convex spaces satisfy the coarse Baum-Connes conjecture. |
| title | Free products of coarsely convex spaces and the coarse Baum-Connes conjecture |
| topic | Metric Geometry Primary 51F30, Secondary 20F65, 58B34 |
| url | https://arxiv.org/abs/2303.13701 |