Coronae of product spaces and the Coarse Baum-Connes conjecture
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2014
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| _version_ | 1866911778522267648 |
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| author | Fukaya, Tomohiro Oguni, Shin-ichi |
| author_facet | Fukaya, Tomohiro Oguni, Shin-ichi |
| contents | We study the coarse Baum-Connes conjecture for product spaces and product groups. We show that a product of CAT(0) groups, polycyclic groups and relatively hyperbolic groups which satisfy some assumptions on peripheral subgroups, satisfies the coarse Baum-Connes conjecture. For this purpose, we construct and analyze an appropriate compactification and its boundary, "corona", of a product of proper metric spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1404_2770 |
| institution | arXiv |
| publishDate | 2014 |
| record_format | arxiv |
| spellingShingle | Coronae of product spaces and the Coarse Baum-Connes conjecture Fukaya, Tomohiro Oguni, Shin-ichi K-Theory and Homology Metric Geometry Primary 58J22, Secondary 20F65, 20F67 We study the coarse Baum-Connes conjecture for product spaces and product groups. We show that a product of CAT(0) groups, polycyclic groups and relatively hyperbolic groups which satisfy some assumptions on peripheral subgroups, satisfies the coarse Baum-Connes conjecture. For this purpose, we construct and analyze an appropriate compactification and its boundary, "corona", of a product of proper metric spaces. |
| title | Coronae of product spaces and the Coarse Baum-Connes conjecture |
| topic | K-Theory and Homology Metric Geometry Primary 58J22, Secondary 20F65, 20F67 |
| url | https://arxiv.org/abs/1404.2770 |