Structure and Isomorphism Classification of Compact Quantum Groups A_u(Q) and B_u(Q)
Abstract
Description
We classify the compact quantum groups $A_u(Q)$ (resp. $B_u(Q)$) up to isomorphism when $Q>0$ (resp. when $Q \bar{Q} \in {\mathbb R} I_n$). 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
13 pages. To appear in Journal of Operator Theory. Details left out in the original version are filled in