Examples of locally compact quantum groups through the bicrossed product construction

Details Examples of locally compact quantum groups through the bicrossed product construction Examples of locally compact quantum groups through the bicrossed product construction

2000-09-06

arxiv.org/abs/math/0009054v1

In Proceedings of the XIIIth International Congress of Mathematical Physics, Imperial College, London, 2000. Editors A. Grigor

Mathematics

Operator Algebras

7 pages, invited talk at XIIIth International Conference Mathematical Physics, London, 2000

Scientific paper

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.

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