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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| Accès en ligne: | https://arxiv.org/abs/2604.27475 |
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| _version_ | 1866911635552075776 |
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| author | Peng, Xintao Wang, Qin |
| author_facet | Peng, Xintao Wang, Qin |
| contents | We study the quantum Gromov-Hausdorff convergence of spectral truncations for compact quantum groups. Using a proper length function, we define a Dirac operator and the associated spectral truncations. This work extends the previous convergence results for tori (Leimbach-van Suijlekom) to a broad class of quantum groups, and provides the first Gromov-Hausdorff convergence result for spectral truncations on quantum groups, encompassing both compact and discrete quantum groups. Our results are applicable to $SU(N)$,$SO(N)$ and discrete quantum groups with strong polynomial growth. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_27475 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Gromov-Hausdorff Convergence of Spectral Truncations for Quantum Groups Peng, Xintao Wang, Qin Operator Algebras We study the quantum Gromov-Hausdorff convergence of spectral truncations for compact quantum groups. Using a proper length function, we define a Dirac operator and the associated spectral truncations. This work extends the previous convergence results for tori (Leimbach-van Suijlekom) to a broad class of quantum groups, and provides the first Gromov-Hausdorff convergence result for spectral truncations on quantum groups, encompassing both compact and discrete quantum groups. Our results are applicable to $SU(N)$,$SO(N)$ and discrete quantum groups with strong polynomial growth. |
| title | Gromov-Hausdorff Convergence of Spectral Truncations for Quantum Groups |
| topic | Operator Algebras |
| url | https://arxiv.org/abs/2604.27475 |