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

作者: Claudia Pinzari , John E. Roberts

DOI: 10.1215/21562261-2017-0005

关键词: MathematicsOperator algebraErgodic theoryPure mathematicsCompact quantum groupFunctorGroup algebraTensor (intrinsic definition)QuantumHilbert space

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

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