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• W2074465122 abstract "The notion of simple compact quantum group is introduced. As non-trivial (noncommutative and noncocommutative) examples, the following families of compact quantum groups are shown to be simple: (a) The universal quantum groups $B_u(Q)$ for $Q in GL(n, {mathbb C})$ satisfying $Q bar{Q} = pm I_n$, $n geq 2$; (b) The quantum automorphism groups $A_{aut}(B, tau)$ of finite dimensional $C^*$-algebras $B$ endowed with the canonical trace $tau$ %endowed with a tracial functional $tr$ when $dim(B) geq 4$, including the quantum permutation groups $A_{aut}(X_n)$ on $n$ points ($n geq 4$); (c) The standard deformations $K_q$ of simple compact Lie groups $K$ and their twists $K_q^u$, as well as Rieffel's deformation $K_J$." @default.
• W2074465122 created "2016-06-24" @default.
• W2074465122 creator A5024193600 @default.
• W2074465122 date "2009-05-01" @default.
• W2074465122 modified "2023-09-28" @default.
• W2074465122 title "Simple compact quantum groups I" @default.
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• W2074465122 doi "https://doi.org/10.1016/j.jfa.2008.10.020" @default.
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