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arXiv · 0705.2527

From multiplicative unitaries to quantum groups II

Piotr M. Sołtan·S. L. Woronowicz
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Abstract

It is shown that all important features of a $\mathrm{C}^*$-algebraic quantum group $(A,Δ)$ defined by a modular multiplicative $W$ depend only on the pair $(A,Δ)$ rather than the multiplicative unitary operator $W$. The proof is based on thorough study of representations of quantum groups. As an application we present a construction and study properties of the universal dual of a quantum group defined by a modular multiplicative unitary - without assuming existence of Haar weights.

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Piotr M. Sołtan, S. L. Woronowicz. 2007-07-17. From multiplicative unitaries to quantum groups II. https://arxiv.org/abs/0705.2527

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