Compact quantum ergodic systems |
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Authors: | Reiji Tomatsu |
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Affiliation: | Department of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo 153-8914, Japan |
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Abstract: | We develop theory of multiplicity maps for compact quantum groups. As an application, we obtain a complete classification of right coideal C∗-algebras of C(SUq(2)) for q∈[−1,1)?{0}. They are labeled with Dynkin diagrams, but classification results for positive and negative cases of q are different. Many of the coideals are quantum spheres or quotient spaces by quantum subgroups, but we do have other ones in our classification list. |
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Keywords: | Compact quantum groups Ergodic actions Right coideals |
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