Quantum metrics from length functions on quantum groups
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866912692284948480 |
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| author | Austad, Are Kyed, David |
| author_facet | Austad, Are Kyed, David |
| contents | We study the quantum metric structure arising from length functions on quantum groups and show that for coamenable quantum groups of Kac type, the quantum metric information is captured by the algebra of central functions. Using this, we provide the first examples of length functions on (genuine) quantum groups which give rise to compact quantum metric spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_01501 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum metrics from length functions on quantum groups Austad, Are Kyed, David Operator Algebras Quantum Algebra 58B34, 58B32, 46L89 We study the quantum metric structure arising from length functions on quantum groups and show that for coamenable quantum groups of Kac type, the quantum metric information is captured by the algebra of central functions. Using this, we provide the first examples of length functions on (genuine) quantum groups which give rise to compact quantum metric spaces. |
| title | Quantum metrics from length functions on quantum groups |
| topic | Operator Algebras Quantum Algebra 58B34, 58B32, 46L89 |
| url | https://arxiv.org/abs/2503.01501 |