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Article Dans Une Revue Mathematica Scandinavica Année : 2024

Permanence of the torsion-freeness property for divisible discrete quantum subgroups

Résumé

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).
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Dates et versions

hal-04442318 , version 1 (06-02-2024)

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Rubén Martos. Permanence of the torsion-freeness property for divisible discrete quantum subgroups. Mathematica Scandinavica, In press, 130 (2), pp.257-299. ⟨hal-04442318⟩

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