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arXiv · 1409.1509

The Haagerup property for Drinfeld doubles

Sutanu Roy
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Abstract

We show that Drinfeld's double group construction for locally compact quantum groups preserves the Haagerup property. This shows that the Drinfeld doubles of the quantum groups, $C_{0}(\mathbb{F}_{2})$, $SU_{q}(2)$, $SU_{q}(1,1)_{\text{ext}}$, quantum $ax+b$, quantum $az+b$, and $E_{q}(2)$ have the Haagerup property.

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Sutanu Roy. 2014-09-04. The Haagerup property for Drinfeld doubles. https://doi.org/10.3318/pria.2015.115.09

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