论文标题
Hecke代数和离散量子组的Schlichting完成
Hecke algebras and the Schlichting completion for discrete quantum groups
论文作者
论文摘要
我们引入了与具有相应量子亚组的离散量子基团相关的Hecke代数。我们研究它们的模块化特性和相关的Hecke运营商。为了研究其分析性能，我们将schlichting Coletion的构建适应量子设置，从而获得了具有紧凑的开放量子亚组的局部紧凑量量子基团。我们详细研究由量子HNN扩展产生的一类示例。
We introduce Hecke algebras associated to discrete quantum groups with commensurated quantum subgroups. We study their modular properties and the associated Hecke operators. In order to investigate their analytic properties we adapt the construction of the Schlichting completion to the quantum setting, thus obtaining locally compact quantum groups with compact open quantum subgroups. We study in detail a class of examples arising from quantum HNN extensions.
