K-theory of Minkowski question-mark function
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913769206054912 |
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| author | Nikolaev, Igor V. |
| author_facet | Nikolaev, Igor V. |
| contents | It is proved that the Minkowski question-mark function comes from the K-theory of Cuntz-Pimsner algebras. We apply this result to calculate the action of Frobenius endomorphism at the infinite prime. Such a problem was raised by Serre and Deninger in the theory of local factors of zeta functions of projective varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_00164 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | K-theory of Minkowski question-mark function Nikolaev, Igor V. K-Theory and Homology Number Theory Operator Algebras 11J70, 14G10, 46L85 It is proved that the Minkowski question-mark function comes from the K-theory of Cuntz-Pimsner algebras. We apply this result to calculate the action of Frobenius endomorphism at the infinite prime. Such a problem was raised by Serre and Deninger in the theory of local factors of zeta functions of projective varieties. |
| title | K-theory of Minkowski question-mark function |
| topic | K-Theory and Homology Number Theory Operator Algebras 11J70, 14G10, 46L85 |
| url | https://arxiv.org/abs/2504.00164 |