AI 中文总结
该研究证明了由精确群扩张得到的可数群在多种新情形下存在强收敛酉表示，涵盖半直积、wreath 积等多类群结构及 C*-代数相关交叉积。
AI 中文摘要
我们证明了在可数群的多种新情形下存在强收敛酉表示，特别是由精确群扩张得到的情形：与可和群的半直积、以阿贝尔群为基的广义 wreath 积、图 wreath 积、包括 Gersten 群在内的各类自由循环群，以及 C*-代数上的各类伯努利移位交叉积。
英文摘要
We prove the existence of strongly converging unitary representations in various new settings of countable groups, in particular, arising as extensions by exact groups: semidirect products with amenable groups; generalized wreath products with abelian base; graph wreath products; various free-by-cyclic groups including Gersten's group; and general Bernoulli shift crossed products on $C^*$-algebras.
Comments11 pages. Comments welcome
