Cowling–Haagerup constant of the product of discrete quantum groups
Documenta mathematica, Tome 29 (2024) no. 6, pp. 1499-1518
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We show that (central) Cowling–Haagerup constant of discrete quantum groups is multiplicative Λcb(Γ1×Γ2)=Λcb(Γ1)Λcb(Γ2), which extends the result of Freslon (2015) to general (not necessarily unimodular) discrete quantum groups. The crucial feature of our approach is considering algebras C(Γ^),L∞(Γ^) as operator modules over L1(Γ^).
Classification :
46L67, 22D55, 47L25
Mots-clés : weak amenability, discrete quantum group
Mots-clés : weak amenability, discrete quantum group
@article{10_4171_dm_979,
author = {Jacek Krajczok},
title = {Cowling{\textendash}Haagerup constant of the product of discrete quantum groups},
journal = {Documenta mathematica},
pages = {1499--1518},
year = {2024},
volume = {29},
number = {6},
doi = {10.4171/dm/979},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/979/}
}
Jacek Krajczok. Cowling–Haagerup constant of the product of discrete quantum groups. Documenta mathematica, Tome 29 (2024) no. 6, pp. 1499-1518. doi: 10.4171/dm/979
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