Let be the Drinfeld-Jimbo deformation of a connected simply-connected compact Lie group and be its maximal torus. We show that the induction functors from the categories of -equivariant correspondences to the categories of -equivariant correspondences give equivalences of these categories under the existence of tracial states. As its application, we show some automatic imprimitivity results and classification results for extensions, subalgebras and finite index discrete quantum subgroups of .

中文翻译：

---

Gq 的自动不变性

令 为连通单连通紧李群的 Drinfeld-Jimbo 变形，为其最大环面。我们证明，从 -等变对应类别到 -等变对应类别的归纳函子给出了在迹线状态存在下这些类别的等价性。作为其应用，我们展示了 的扩展、子代数和有限指数离散量子子群的一些自动不变性结果和分类结果。