Higher ℓ
            2-betti numbers of universal quantum groups

Julien Bichon; David Kyed; Sven  Raum

doi:10.4153/CMB-2017-036-3

Higher ℓ ²-betti numbers of universal quantum groups

Julien Bichon, David Kyed, Sven Raum

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

Abstract

We calculate all ℓ ²-Betti numbers of the universal discrete Kac quantum groups Û ⁺ _n as well as their half-liberated counterparts Û ^∗ _n.

Original language	English
Journal	Canadian Mathematical Bulletin
Volume	61
Issue number	2
Pages (from-to)	225-235
ISSN	0008-4395
DOIs	https://doi.org/10.4153/CMB-2017-036-3
Publication status	Published - 1. Jun 2018

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Keywords

Extension
Free product formula
Free unitary quantum group
Half-liberated unitary quantum group
ℓ-Betti number

Cite this

Bichon, J., Kyed, D., & Raum, S. (2018). Higher ℓ ²-betti numbers of universal quantum groups. Canadian Mathematical Bulletin, 61(2), 225-235. https://doi.org/10.4153/CMB-2017-036-3

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title = "Higher ℓ 2-betti numbers of universal quantum groups",

abstract = "We calculate all ℓ 2-Betti numbers of the universal discrete Kac quantum groups {\^U} + n as well as their half-liberated counterparts {\^U} ∗ n. ",

keywords = "Extension, Free product formula, Free unitary quantum group, Half-liberated unitary quantum group, ℓ-Betti number",

author = "Julien Bichon and David Kyed and Sven Raum",

year = "2018",

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doi = "10.4153/CMB-2017-036-3",

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AU - Bichon, Julien

AU - Kyed, David

AU - Raum, Sven

PY - 2018/6/1

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N2 - We calculate all ℓ 2-Betti numbers of the universal discrete Kac quantum groups Û + n as well as their half-liberated counterparts Û ∗ n.

AB - We calculate all ℓ 2-Betti numbers of the universal discrete Kac quantum groups Û + n as well as their half-liberated counterparts Û ∗ n.

KW - Extension

KW - Free product formula

KW - Free unitary quantum group

KW - Half-liberated unitary quantum group

KW - ℓ-Betti number

U2 - 10.4153/CMB-2017-036-3

DO - 10.4153/CMB-2017-036-3

M3 - Journal article

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JO - Canadian Mathematical Bulletin

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SN - 0008-4395

IS - 2

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Documents & Links

10.4153/CMB-2017-036-3

https://arxiv.org/pdf/1612.07706.pdf