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Averaging multipliers on locally compact quantum groups

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Averaging multipliers on locally compact quantum groups. / Daws, Matthew; Krajczok, Jacek; Voigt, Christian.
In: Journal of the London Mathematical Society, Vol. 111, No. 3, e70104, 31.03.2025.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Daws, M, Krajczok, J & Voigt, C 2025, 'Averaging multipliers on locally compact quantum groups', Journal of the London Mathematical Society, vol. 111, no. 3, e70104. https://doi.org/10.1112/jlms.70104

APA

Daws, M., Krajczok, J., & Voigt, C. (2025). Averaging multipliers on locally compact quantum groups. Journal of the London Mathematical Society, 111(3), Article e70104. https://doi.org/10.1112/jlms.70104

Vancouver

Daws M, Krajczok J, Voigt C. Averaging multipliers on locally compact quantum groups. Journal of the London Mathematical Society. 2025 Mar 31;111(3):e70104. Epub 2025 Mar 1. doi: 10.1112/jlms.70104

Author

Daws, Matthew ; Krajczok, Jacek ; Voigt, Christian. / Averaging multipliers on locally compact quantum groups. In: Journal of the London Mathematical Society. 2025 ; Vol. 111, No. 3.

Bibtex

@article{6250c4af45c64856ad0e4912cce337c6,
title = "Averaging multipliers on locally compact quantum groups",
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.",
author = "Matthew Daws and Jacek Krajczok and Christian Voigt",
year = "2025",
month = mar,
day = "31",
doi = "10.1112/jlms.70104",
language = "English",
volume = "111",
journal = "Journal of the London Mathematical Society",
issn = "0024-6107",
publisher = "Oxford University Press",
number = "3",

}

RIS

TY - JOUR

T1 - Averaging multipliers on locally compact quantum groups

AU - Daws, Matthew

AU - Krajczok, Jacek

AU - Voigt, Christian

PY - 2025/3/31

Y1 - 2025/3/31

N2 - 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.

AB - 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.

U2 - 10.1112/jlms.70104

DO - 10.1112/jlms.70104

M3 - Journal article

VL - 111

JO - Journal of the London Mathematical Society

JF - Journal of the London Mathematical Society

SN - 0024-6107

IS - 3

M1 - e70104

ER -