Roe functors preserve homotopies
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908483610214400 |
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| author | Makeev, Georgii S. |
| author_facet | Makeev, Georgii S. |
| contents | We show that coarse maps between countable metric spaces of bounded geometry induce natural transformations of sufficiently good endofunctors of C*-algebras and prove that this correspondence is invariant with respect to coarse homotopies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_06848 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Roe functors preserve homotopies Makeev, Georgii S. Operator Algebras 46L80 (Primary) 51F30, 18A25 (Secondary) We show that coarse maps between countable metric spaces of bounded geometry induce natural transformations of sufficiently good endofunctors of C*-algebras and prove that this correspondence is invariant with respect to coarse homotopies. |
| title | Roe functors preserve homotopies |
| topic | Operator Algebras 46L80 (Primary) 51F30, 18A25 (Secondary) |
| url | https://arxiv.org/abs/2508.06848 |