Ergodic actions of compact quantum groups from solutions of the conjugate equations
Operator Algebras
2017-10-18 v3 Quantum Algebra
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).
Keywords
Cite
@article{arxiv.0808.3326,
title = {Ergodic actions of compact quantum groups from solutions of the conjugate equations},
author = {Claudia Pinzari and John E. Roberts},
journal= {arXiv preprint arXiv:0808.3326},
year = {2017}
}
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32 pages