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26 April 2024
 
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Structure and Isomorphism Classification of Compact Quantum Groups A_u(Q) and B_u(Q)
Shuzhou Wang ;
Date 17 Jul 1998
Journal Journal of Operator Theory 48 (2002), 573-583
Subject Operator Algebras; Quantum Algebra | math.OA math.QA
AbstractWe classify the compact quantum groups $A_u(Q)$ (resp. $B_u(Q)$) up to isomorphism when $Q>0$ (resp. when $Q ar{Q} in {mathbb R} I_n$). 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.
Source arXiv, math.OA/9807095
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