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arXiv · 0808.3326

Ergodic actions of compact quantum groups from solutions of the conjugate equations

Claudia Pinzari·John E. Roberts
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Abstract

We use a tensor C*-category with conjugates and two quasitensor functors into the category of Hilbert spaces to define a *-algebra depending functorially on this data. If one of them is tensorial, we can complete in the maximal C*-norm. A particular case of this construction allows us to begin with solutions of the conjugate equations and associate ergodic actions of quantum groups on the C*-algebra in question. The quantum groups involved are A_u(Q) and B_u(Q).

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Claudia Pinzari, John E. Roberts. 2008-08-25. Ergodic actions of compact quantum groups from solutions of the conjugate equations. https://doi.org/10.1215/21562261-2017-0005

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