Characterization of compact quantum group

• DOI: 10.1007/s11464-014-0352-z
• Publication Date: 2014-01-08T04:48:06Z
• Authors: Ming Liu; Xia Zhang
• Keywords: 0101 mathematics; 01 natural sciences

Given a C*-algebra A and a comultiplication Φ on A, we show that the pair (A, Φ) is a compact quantum group if and only if the associated multiplier Hopf *-algebra ( , ) is a compact Hopf *-algebra.