Higher Kazhdan projections and delocalised $\ell^ 2$-Betti numbers
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917534703288320 |
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| author | Pooya, Sanaz Wang, Hang |
| author_facet | Pooya, Sanaz Wang, Hang |
| contents | We provide an explicit description of the K-classes of higher Kazhdan projections in degrees greater than 0 for specific free product groups and Cartesian product groups. Employing this description, we obtain new calculations of Lott's delocalised $\ell^2$-Betti numbers. Notably, we establish the first non-vanishing results for infinite groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_03837 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Higher Kazhdan projections and delocalised $\ell^ 2$-Betti numbers Pooya, Sanaz Wang, Hang Operator Algebras Group Theory K-Theory and Homology 46L80, 19D55, 20F65 We provide an explicit description of the K-classes of higher Kazhdan projections in degrees greater than 0 for specific free product groups and Cartesian product groups. Employing this description, we obtain new calculations of Lott's delocalised $\ell^2$-Betti numbers. Notably, we establish the first non-vanishing results for infinite groups. |
| title | Higher Kazhdan projections and delocalised $\ell^ 2$-Betti numbers |
| topic | Operator Algebras Group Theory K-Theory and Homology 46L80, 19D55, 20F65 |
| url | https://arxiv.org/abs/2405.03837 |