Torsion and K-theory for some free wreath products

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Torsion and K-theory for some free wreath products. / Freslon, Amaury ; Martos Prieto, Ruben.

I: International Mathematics Research Notices, Bind 2020, Nr. 6, 2018, s. 1639–1670.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Freslon, A & Martos Prieto, R 2018, 'Torsion and K-theory for some free wreath products', International Mathematics Research Notices, bind 2020, nr. 6, s. 1639–1670. https://doi.org/10.1093/imrn/rny071

APA

Freslon, A., & Martos Prieto, R. (2018). Torsion and K-theory for some free wreath products. International Mathematics Research Notices, 2020(6), 1639–1670. https://doi.org/10.1093/imrn/rny071

Vancouver

Freslon A, Martos Prieto R. Torsion and K-theory for some free wreath products. International Mathematics Research Notices. 2018;2020(6):1639–1670. https://doi.org/10.1093/imrn/rny071

Author

Freslon, Amaury ; Martos Prieto, Ruben. / Torsion and K-theory for some free wreath products. I: International Mathematics Research Notices. 2018 ; Bind 2020, Nr. 6. s. 1639–1670.

Bibtex

@article{f96ae4b45b214c2a8829a8adfc0d4fea,
title = "Torsion and K-theory for some free wreath products",
abstract = "We classify torsion actions of free wreath products of arbitrary compact quantum groups by SN+ and use this to prove that if G is a torsion-free compact quantum group satisfying the strong Baum-Connes property, then G≀*SN+ also satisfies the strong Baum-Connes property. We then compute the K-theory of free wreath products of classical and quantum free groups by SOq(3).",
keywords = "Faculty of Science, Baum–Connes conjecture, Free group, Free wreath product, Quantum groups, K-theory, Torsion",
author = "Amaury Freslon and {Martos Prieto}, Ruben",
year = "2018",
doi = "https://doi.org/10.1093/imrn/rny071",
language = "English",
volume = "2020",
pages = "1639–1670",
journal = "International Mathematics Research Notices",
issn = "1073-7928",
publisher = "Oxford University Press",
number = "6",

}

RIS

TY - JOUR

T1 - Torsion and K-theory for some free wreath products

AU - Freslon, Amaury

AU - Martos Prieto, Ruben

PY - 2018

Y1 - 2018

N2 - We classify torsion actions of free wreath products of arbitrary compact quantum groups by SN+ and use this to prove that if G is a torsion-free compact quantum group satisfying the strong Baum-Connes property, then G≀*SN+ also satisfies the strong Baum-Connes property. We then compute the K-theory of free wreath products of classical and quantum free groups by SOq(3).

AB - We classify torsion actions of free wreath products of arbitrary compact quantum groups by SN+ and use this to prove that if G is a torsion-free compact quantum group satisfying the strong Baum-Connes property, then G≀*SN+ also satisfies the strong Baum-Connes property. We then compute the K-theory of free wreath products of classical and quantum free groups by SOq(3).

KW - Faculty of Science

KW - Baum–Connes conjecture

KW - Free group

KW - Free wreath product

KW - Quantum groups

KW - K-theory

KW - Torsion

U2 - https://doi.org/10.1093/imrn/rny071

DO - https://doi.org/10.1093/imrn/rny071

M3 - Journal article

VL - 2020

SP - 1639

EP - 1670

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

SN - 1073-7928

IS - 6

ER -

ID: 248546818