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arXiv math/04120122004-12-04math.OAmath.QA

Compact Quantum Ergodic Systems

Reiji Tomatsu

备注：: 86 pages, minor correct

英文摘要：

We develop theory of multiplicity maps for compact quantum groups, as an application, we obtain a complete classification of right coideal $C^*$-algebras of $C(SU_q(2))$ for $q\in [-1,1]\setminus \{0\}$. 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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