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

Forskning

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

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Permanence of the torsion-freeness property for divisible discrete quantum subgroups. / Martos, Rubén.

In: Mathematica Scandinavica, Vol. 130, No. 2, 2024, p. 257-299.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Martos, R 2024, 'Permanence of the torsion-freeness property for divisible discrete quantum subgroups', Mathematica Scandinavica, vol. 130, no. 2, pp. 257-299. https://doi.org/10.7146/math.scand.a-143216

APA

Martos, R. (2024). Permanence of the torsion-freeness property for divisible discrete quantum subgroups. Mathematica Scandinavica, 130(2), 257-299. https://doi.org/10.7146/math.scand.a-143216

Vancouver

Martos R. Permanence of the torsion-freeness property for divisible discrete quantum subgroups. Mathematica Scandinavica. 2024;130(2):257-299. https://doi.org/10.7146/math.scand.a-143216

Author

Martos, Rubén. / Permanence of the torsion-freeness property for divisible discrete quantum subgroups. In: Mathematica Scandinavica. 2024 ; Vol. 130, No. 2. pp. 257-299.

Bibtex

@article{60b1e358d7fc4e5bb496e01ad4687b43,

title = "Permanence of the torsion-freeness property for divisible discrete quantum subgroups",

abstract = "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).",

author = "Rub{\'e}n Martos",

year = "2024",

doi = "10.7146/math.scand.a-143216",

language = "English",

volume = "130",

pages = "257--299",

journal = "Mathematica Scandinavica",

issn = "0025-5521",

publisher = "Aarhus Universitet * Mathematica Scandinavica",

number = "2",

}

RIS

TY - JOUR

T1 - Permanence of the torsion-freeness property for divisible discrete quantum subgroups

AU - Martos, Rubén

PY - 2024

Y1 - 2024

N2 - 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).

AB - 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).

U2 - 10.7146/math.scand.a-143216

DO - 10.7146/math.scand.a-143216

M3 - Journal article

AN - SCOPUS:85195652602

VL - 130

SP - 257

EP - 299

JO - Mathematica Scandinavica

JF - Mathematica Scandinavica

SN - 0025-5521

IS - 2

ER -

ID: 395144765