$C^*$ -具有非初等收敛群作用的群的简单性
$C^*$-simplicity for groups with non-elementary convergence group actions
摘要：
证明了具有有效极小非初等收敛群作用的可数群是幂群。更强地证明了它是一个强幂群，因而它的非平凡次正规子群是$C^*$ -单的。
英文摘要：
We prove that a countable group with an effective minimal non-elementary convergence group action is a Powers group. More strongly we prove that it is a strongly Powers group and thus its non-trivial subnormal subgroups are $C^*$-simple.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
