Compact quantum ergodic systems

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15 Citations (Scopus)

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) {set minus} {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.

Original languageEnglish
Pages (from-to)1-83
Number of pages83
JournalJournal of Functional Analysis
Volume254
Issue number1
DOIs
Publication statusPublished - 2008 Jan 1
Externally publishedYes

Keywords

  • Compact quantum groups
  • Ergodic actions
  • Right coideals

ASJC Scopus subject areas

  • Analysis

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