Quantitative index, Novikov conjecture and coarse decomposability
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866912140601851904 |
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| author | Oyono-Oyono, Hervé Yu, Guoliang |
| author_facet | Oyono-Oyono, Hervé Yu, Guoliang |
| contents | We define for families of finite metric spaces quantitative assembly map estimates that take into account propagation phenomena for pseudo-differential calculus. We relate these estimates to the Novikov conjecture and we show that they fit nicely under coarse decompositions. As an application, we provide a geometric proof of Novikov conjecture for groups with finite decomposition complexity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_01314 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantitative index, Novikov conjecture and coarse decomposability Oyono-Oyono, Hervé Yu, Guoliang K-Theory and Homology Operator Algebras We define for families of finite metric spaces quantitative assembly map estimates that take into account propagation phenomena for pseudo-differential calculus. We relate these estimates to the Novikov conjecture and we show that they fit nicely under coarse decompositions. As an application, we provide a geometric proof of Novikov conjecture for groups with finite decomposition complexity. |
| title | Quantitative index, Novikov conjecture and coarse decomposability |
| topic | K-Theory and Homology Operator Algebras |
| url | https://arxiv.org/abs/2412.01314 |