Examples of locally compact quantum groups through the bicrossed product construction
Operator Algebras
2007-05-23 v1 Quantum Algebra
Abstract
The main aim of this paper is to introduce some examples of non-compact locally compact quantum groups to a non-specialized audience. The major importance of these examples is their simplicity. Other examples as the quantum E(2) group of Woronowicz are much more difficult to construct. We will make use of the bicrossed product construction to obtain our examples. This construction dates back to Kac, Takeuchi and Majid. It was also considered by Baaj & Skandalis.
Keywords
Cite
@article{arxiv.math/0009054,
title = {Examples of locally compact quantum groups through the bicrossed product construction},
author = {Stefaan Vaes},
journal= {arXiv preprint arXiv:math/0009054},
year = {2007}
}
Comments
7 pages, invited talk at XIIIth International Conference Mathematical Physics, London, 2000