Open Access
2009 A note on the von Neumann algebra underlying some universal compact quantum groups
Kenny De Commer
Banach J. Math. Anal. 3(2): 103-108 (2009). DOI: 10.15352/bjma/1261086714

Abstract

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

Citation

Download Citation

Kenny De Commer. "A note on the von Neumann algebra underlying some universal compact quantum groups." Banach J. Math. Anal. 3 (2) 103 - 108, 2009. https://doi.org/10.15352/bjma/1261086714

Information

Published: 2009
First available in Project Euclid: 17 December 2009

zbMATH: 1193.46038
MathSciNet: MR2545177
Digital Object Identifier: 10.15352/bjma/1261086714

Subjects:
Primary: 46L10
Secondary: 16W35 , 46L54

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

Rights: Copyright © 2009 Tusi Mathematical Research Group

Vol.3 • No. 2 • 2009
Back to Top