On the torsion-freeness property for divisible discrete quantum subgroups
Research output: Working paper › Preprint › Research
We prove that torsion-freeness in the sense of Meyer-Nest is preserved under divisible discrete quantum subgroups. As a consequence, we obtain some stability results of the torsion-freeness property for relevant constructions of quantum groups (quantum (semi-)direct products, compact bicrossed products and quantum free products). We improve some stability results concerning the Baum-Connes conjecture appearing already in a previous work of the author. For instance, we show that the (resp. strong) Baum-Connes conjecture is preserved by discrete quantum subgroups (without any torsion-freeness or divisibility assumption). Finally, we analyze an alternative approach to tackle the stability of torsion-freeness by divisible discrete quantum subgroups in terms of module C*-categories.
Original language | English |
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Publisher | arxiv.org |
Number of pages | 32 |
Publication status | Published - 2021 |
- Faculty of Science - Baum-Connes conjecture, compact/discrete quantum groups, C*-tensor categories, divisible discrete quantum subgroups, module C*-categories, torsion, triangulated categories
Research areas
Links
- https://arxiv.org/abs/2112.12725
Final published version
ID: 312338653