Permanence of the torsion-freeness property for divisible discrete quantum subgroups
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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).
Original language | English |
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Journal | Mathematica Scandinavica |
Volume | 130 |
Issue number | 2 |
Pages (from-to) | 257-299 |
ISSN | 0025-5521 |
DOIs | |
Publication status | Published - 2024 |
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