可分类的C*-代数具有量子对称性
Classifiable C*-algebras have quantum symmetries
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中文总结 AI 辅助
本文证明可分类简单C*-代数（如Jiang-Su代数）具有离散量子群外作用，并由此构造新的超有限子因子及SU_q(2)的极小作用。
中文摘要 AI 辅助
我们证明每个可分类的简单C*-代数，特别是Jiang-Su代数，都允许若干离散量子群的外作用，例如有限量子群和某些自由紧量子群的对偶。作为该构造的结果，我们提供了具有Temperley-Lieb-Jones标准不变量的超有限子因子的新例子，并证明$\noperatorname{SU}_q(2)$可以对无限多个$q$的某些Araki-Woods因子进行极小作用。
英文摘要
We show that every classifiable simple C*-algebra, in particular the Jiang-Su algebra, admits outer actions of several discrete quantum groups, such as finite quantum groups and duals of certain free compact quantum groups. As a consequence of the construction, we provide new examples of hyperfinite subfactors with the Temperley-Lieb-Jones standard invariant and show that $\operatorname{SU}_q(2)$ can act minimally on some Araki-Woods factors for infinitely many $q$.
