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arXiv · 1003.2278

Modular properties of matrix coefficients of corepresentations of a locally compact quantum group

Martijn Caspers·Erik Koelink
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Abstract

We give a formula for the modular operator and modular conjugation in terms of matrix coefficients of corepresentations of a quantum group in the sense of Kustermans and Vaes. As a consequence, the modular autmorphism group of a unimodular quantum group can be expressed in terms of matrix coefficients. As an application, we determine the Duflo-Moore operators for the quantum group analogue of the normaliser of SU(1,1) in $SL(2,\mathbb{C}$).

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Martijn Caspers, Erik Koelink. 2011-04-11. Modular properties of matrix coefficients of corepresentations of a locally compact quantum group. https://arxiv.org/abs/1003.2278

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