Year: 2024
Type: article
Abstract: We show that (central) Cowling–Haagerup constant of discrete quantum groups is multiplicative \Lambda_{\mathrm{cb}}(ℾ_{1}\times ℾ_{2}) =\Lambda_{\mathrm{cb}}(ℾ_1)\, \Lambda_{\mathrm{cb}}(ℾ_{2}) , which extends the result of Freslon (2015) to general (not necessarily unimodular) discrete quantum groups. The crucial feature of our approach is considering algebras \mathrm{C}(\hat ℾ), \operatorname{L}^{\infty}(\hat ℾ) as operator modules over \operatorname{L}^{1}(\hat ℾ) .
Source: Documenta Mathematica
DOI: 10.4171/dm/979
Author: Jacek Krajczok
Institution: Vrije Universiteit Brussel
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Funder: Fonds Wetenschappelijk Onderzoek
OpenAlex ID: W4404721284