English

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

Operator Algebras 2010-06-14 v2

Abstract

We show that for F an invertible 2 by 2 matrix, the von Neumann algebra associated to the universal quantum group A_u(F) is a free Araki-Woods factor.

Keywords

Cite

@article{arxiv.0907.3863,
  title  = {A note on the von Neumann algebra underlying some universal compact quantum groups},
  author = {Kenny De Commer},
  journal= {arXiv preprint arXiv:0907.3863},
  year   = {2010}
}

Comments

5 pages; added a reference and shortened the proof of Lemma 2.4 with the aid of it

R2 v1 2026-06-21T13:27:49.509Z