Banach Journal of Mathematical Analysis

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

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

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.

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Primary Subjects: 46L10
Secondary Subjects: 46L54, 16W35
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.bjma/1261086714
Mathematical Reviews number (MathSciNet): MR2545177
Zentralblatt MATH identifier: 05702391


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Banach Journal of Mathematical Analysis

Banach Journal of Mathematical Analysis