Work

Averaging multipliers on locally compact quantum groups

Year: 2025

Type: article

Abstract: We study an averaging procedure for completely bounded multipliers on a locally compact quantum group with respect to a compact quantum subgroup. As a consequence we show that central approximation properties of discrete quantum groups are equivalent to the corresponding approximation properties of their Drinfeld doubles. This is complemented by a discussion of the averaging of Fourier algebra elements. We compare the biinvariant Fourier algebra of the Drinfeld double of a discrete quantum group with the central Fourier algebra. In the unimodular case these are naturally identified, but we show by exhibiting a family of counter‐examples that they differ in general.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70104

Authors: Matthew Daws, Jacek Krajczok, Christian Voigt

Institutions: Lancaster University, Vrije Universiteit Brussel, University of Glasgow

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funders: Fonds Wetenschappelijk Onderzoek, Engineering and Physical Sciences Research Council