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Zbl 1193.46038
De Commer, Kenny
A note on the von Neumann algebra underlying some universal compact quantum groups. (English)
[J] Banach J. Math. Anal. 3, No. 2, 103-108, electronic only (2009). ISSN 1735-8787/e

Summary: We show that for $F\in GL(2,\Bbb C)$, the von Neumann algebra associated to the universal compact quantum group $A_u(F)$ is a free Araki-Woods factor.

MSC 2000:: *46L10 General theory of von Neumann algebras
46L54 Free probability and free operator algebras
16T20

Keywords: von Neumann algebra; free quantum group; free Araki-Woods factor; free probability

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