Compact Quantum Ergodic Systems

2004/12/01 by Reiji Tomatsu, Tomatsu, Reiji
Mathematics · #46L65 #FOS: Mathematics #Operator Algebras (math.OA) #Quantum Algebra (math.QA) #math.OA #math.QA #msc:46L65

paper · pdf · doi:10.48550/arxiv.math/0412012

86 pages, minor correct

arxiv created 2004/12/04 · arxiv updated 2009/12/01

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(SU_q(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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