Skalski, A., Vergnioux, R. and Voigt, C. (2023) Hecke algebras and the Schlichting completion for discrete quantum groups. Journal of the London Mathematical Society, 107(3), pp. 843-885. (doi: 10.1112/jlms.12701)
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Abstract
We introduce Hecke algebras associated to discrete quantum groups with commensurated quantum subgroups. We study their modular properties and the associated Hecke operators. In order to investigate their analytic properties we adapt the construction of the Schlichting completion to the quantum setting, thus obtaining locally compact quantum groups with compact open quantum subgroups. We study in detail a class of examples arising from quantum HNN extensions.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Voigt, Professor Christian |
| Authors: | Skalski, A., Vergnioux, R., and Voigt, C. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal of the London Mathematical Society |
| Publisher: | Wiley |
| ISSN: | 0024-6107 |
| ISSN (Online): | 1469-7750 |
| Published Online: | 07 December 2022 |
| Copyright Holders: | Copyright © 2022 The Authors |
| First Published: | First published in Journal of the London Mathematical Society 107(3): 843-885 |
| Publisher Policy: | Reproduced under a Creative Commons licence |
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