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

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

1998-07-17

arxiv.org/abs/math/9807095v2

Journal of Operator Theory 48 (2002), 573-583

Mathematics

Operator Algebras

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

Scientific paper

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.

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