Quantum groups and generalized circular elements
Operator Algebras
2016-03-09 v2
Abstract
We show that with respect to the Haar state, the joint distributions of the generators of Van Daele and Wang's free orthogonal quantum groups are modeled by free families of generalized circular elements and semicircular elements in the large (quantum) dimension limit. We also show that this class of quantum groups acts naturally as distributional symmetries of almost-periodic free Araki-Woods factors.
Keywords
Cite
@article{arxiv.1505.05137,
title = {Quantum groups and generalized circular elements},
author = {Michael Brannan and Kay Kirkpatrick},
journal= {arXiv preprint arXiv:1505.05137},
year = {2016}
}
Comments
New reference added; a connection to earlier work of S. Vaes on actions of quantum groups on free Araki-Woods factors is pointed out