Idempotent states on compact quantum groups and their classification on Uq(2), SUq(2), and SOq(3)

Uwe Franz*, Adam Skalski, Reiji Tomatsu

*この研究の対応する著者

研究成果: Article査読

17 被引用数 (Scopus)

抄録

Unlike for locally compact groups, idempotent states on locally compact quantum groups do not necessarily arise as Haar states of compact quantum subgroups. We give a simple characterisation of those idempotent states on compact quantum groups that do arise as Haar states on quantum subgroups. We also show that all idempotent states on the quantum groups Uq (2), SUq (2), and SOq (3) (q ∈(- 1; 0) ∪ (0; 1)) arise in this manner and list the idempotent states on the compact quantum semigroups U0(2), SU0(2), and SO0(3). In the Appendix we provide a short new proof of the coamenability of deformations of classical compact Lie groups based on their representation theory.

本文言語English
ページ(範囲)221-254
ページ数34
ジャーナルJournal of Noncommutative Geometry
7
1
DOI
出版ステータスPublished - 2013
外部発表はい

ASJC Scopus subject areas

  • 代数と数論
  • 数理物理学
  • 幾何学とトポロジー

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