A refinement of bounded cohomology
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866914213137481728 |
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| author | Gal, Światosław R. Kędra, Jarek |
| author_facet | Gal, Światosław R. Kędra, Jarek |
| contents | We introduce a refinement of bounded cohomology and prove that the suitable comparison homomorphisms vanish for an amenable group. We investigate in this context Thompson's group F and provide further evidence towards its amenability. We provide a source of nontrivial 1-bounded classes and show that the space of 1-bounded classes in degree 2 is huge. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_03168 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A refinement of bounded cohomology Gal, Światosław R. Kędra, Jarek Group Theory Metric Geometry We introduce a refinement of bounded cohomology and prove that the suitable comparison homomorphisms vanish for an amenable group. We investigate in this context Thompson's group F and provide further evidence towards its amenability. We provide a source of nontrivial 1-bounded classes and show that the space of 1-bounded classes in degree 2 is huge. |
| title | A refinement of bounded cohomology |
| topic | Group Theory Metric Geometry |
| url | https://arxiv.org/abs/2208.03168 |