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

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

2008-08-25

arxiv.org/abs/0808.3326v2

Mathematics

Operator Algebras

32 pages

Scientific paper

We use a tensor C*-category with conjugates and two quasitensor functors into the category of Hilbert spaces to define a C*-algebra depending functorially on this data. 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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