Compact quantum ergodic systems

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(SUq(2)) for q epsilon [-1, 1) {10}. 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. (c) 2007 Elsevier Inc. All rights reserved.