Structure and Isomorphism Classification of Compact Quantum Groups A_u(Q) and B_u(Q)

Shuzhou Wang

paper

Structure and Isomorphism Classification of Compact Quantum Groups A_u(Q) and B_u(Q)

arXiv:math/9807095

Abstract

We classify the compact quantum groups $A_{u} (Q)$ (resp. $B_{u} (Q)$ ) up to isomorphism when $Q > 0$ (resp. when $Q Q ˉ \in R I_{n}$ ). We show that the general $A_{u} (Q)$ 's and $B_{u} (Q)$ 's for arbitrary $Q$ have explicit decompositions into free products of these special $A_{u} (Q)$ 's and $B_{u} (Q)$ 's.

13 pages. To appear in Journal of Operator Theory. Details left out in the original version are filled in