Cowling-Haagerup constant of the product of discrete quantum groups
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916684072222720 |
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| author | Krajczok, Jacek |
| author_facet | Krajczok, Jacek |
| contents | We show that (central) Cowling-Haagerup constant of discrete quantum groups is multiplicative, which extends the result of Freslon to general (not necesarilly unimodular) discrete quantum groups. The crucial feature of our approach is considering algebras $\mathrm{C}(\mathbb{G}), \operatorname{L}^{\infty}(\mathbb{G})$ as operator modules over $\operatorname{L}^1(\mathbb{G})$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_16917 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cowling-Haagerup constant of the product of discrete quantum groups Krajczok, Jacek Operator Algebras Functional Analysis Quantum Algebra 46L67 (Primary), 22D55, 47L25 (Secondary) We show that (central) Cowling-Haagerup constant of discrete quantum groups is multiplicative, which extends the result of Freslon to general (not necesarilly unimodular) discrete quantum groups. The crucial feature of our approach is considering algebras $\mathrm{C}(\mathbb{G}), \operatorname{L}^{\infty}(\mathbb{G})$ as operator modules over $\operatorname{L}^1(\mathbb{G})$. |
| title | Cowling-Haagerup constant of the product of discrete quantum groups |
| topic | Operator Algebras Functional Analysis Quantum Algebra 46L67 (Primary), 22D55, 47L25 (Secondary) |
| url | https://arxiv.org/abs/2401.16917 |