JournalsjncgVol. 4 , No. 1DOI 10.4171/jncg/48

Quantum SO(3) groups and quantum group actions on <var>M</var><sub>2</sub>

  • Piotr M. Sołtan

    Warsaw University, Poland
Quantum SO(3) groups and quantum group actions on <var>M</var><sub>2</sub> cover

Abstract

Answering a question of Shuzhou Wang we give a description of quantum SO(3) groups of Podleś as universal compact quantum groups acting on the C*-algebra M2 and preserving the Powers state. We use this result to give a complete classification of all continuous compact quantum group actions on M2.