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Higher ℓ2-Betti Numbers of Universal Quantum Groups

Published online by Cambridge University Press:  20 November 2018

Julien Bichon ,
David Kyed  and
Sven Raum
Julien Bichon
Affiliation:
Laboratoire de Mathématiques Blaise Pascal, Université Clermont Auvergne, Campus universitaire des Cézeaux, 3 place Vasarely, 63178 Aubière cedex, Francejulien.bichon@uca.fr
David Kyed
Affiliation:
Department of Mathematics and Computer Science, University of Southern Denmark, Campusvej 22, DK-5230 Odense M, Denmarkdkyed@imada.sdu.dk
Sven Raum
Affiliation:
EPFL SB SMA, Station 8, CH-1015 Lausanne, Switzerlandsven.raum@epfl.ch
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Abstract

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We calculate all ${{\ell }^{2}}$-Betti numbers of the universal discrete Kac quantum groups $\widehat{\text{U}}_{n}^{+}$ as well as their half-liberated counterparts $\widehat{\text{U}}_{n}^{*}$.

Keywords

16T0546L6520G42ℓ2-Betti numberfree unitary quantum grouphalf-liberated unitary quantum groupfree product formulaextension
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 61 , Issue 2 , 01 June 2018 , pp. 225 - 235
Copyright
Copyright © Canadian Mathematical Society 2018

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