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

Department of Mathematics and Computer Science

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

Keywords

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

Documents & Links

10.4153/CMB-2017-036-3

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

SDU Link

Check access to the material in SDU Library's search engine

Cite this

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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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AU - Kyed, David

AU - Raum, Sven

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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

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DO - 10.4153/CMB-2017-036-3

M3 - Journal article

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JO - Canadian Mathematical Bulletin

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Higher ℓ 2-betti numbers of universal quantum groups