论文标题
两个群体的家族，这些群体的作用在具有非平凡的准内核的树木上
Two Families of Examples of Groups Acting on Trees with Nontrivial Quasi-Kernels
论文作者
论文摘要
我们介绍了两个作用在树木上的群体的家庭，一个由群体合并组成，另一个由HNN扩展组成，是由$ C^*$ - 简单性和独特的跟踪属性的问题所激发的。此外，我们证明我们的示例不是内部的，并且在每个示例中识别一个相对较大，简单，正常的亚组。
We introduce two families of examples of groups acting on trees, one consisting of group amalgamations and the other consisting of HNN-extensions, motivated by the problems of $C^*$-simplicity and unique trace property. Moreover, we prove that our examples are not inner amenable and identify a relatively large, simple, normal subgroup in each one.
