Banach Journal of Mathematical Analysis

A note on the von Neumann algebra underlying some universal compact quantum groups

Kenny De Commer

Full-text: Open access

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.

Article information

Source
Banach J. Math. Anal., Volume 3, Number 2 (2009), 103-108.

Dates
First available in Project Euclid: 17 December 2009

Permanent link to this document
https://projecteuclid.org/euclid.bjma/1261086714

Digital Object Identifier
doi:10.15352/bjma/1261086714

Mathematical Reviews number (MathSciNet)
MR2545177

Zentralblatt MATH identifier
1193.46038

Subjects
Primary: 46L10: General theory of von Neumann algebras
Secondary: 46L54: Free probability and free operator algebras 16W35

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

Citation

De Commer, Kenny. A note on the von Neumann algebra underlying some universal compact quantum groups. Banach J. Math. Anal. 3 (2009), no. 2, 103--108. doi:10.15352/bjma/1261086714. https://projecteuclid.org/euclid.bjma/1261086714


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