与正规子移位相关的单纯无限$C^*$ -代数
Simple purely infinite $C^*$-algebras associated with normal subshifts
摘要：
我们将引入正规子移位的概念。如果子移位$(Λ,σ)$满足称为$λ$ -synchronizing的特定同步性质并且作为集合是无限的，则称其为正规的。我们从正规子移位（包括不可约无限sofic移位、Dyck移位、$β$移位等）中得到了大量的纯无限单$C^*$ -代数，并分别用相应的$C^*$ -代数和相应的稳定$C^*$-代数及其对角线和规范作用刻画了单侧正规子移位的最终共轭性和双侧正规子移位的拓扑共轭性.
英文摘要：
We will introduce a notion of normal subshifts. A subshift $(Λ,σ)$ is said to be normal if it satisfies a certain synchronizing property called $λ$-synchronizing and is infinite as a set. We have lots of purely infinite simple $C^*$-algebras from normal subshifts including irreducible infinite sofic shifts, Dyck shifts, $β$-shifts, and so on. Eventual conjugacy of one-sided normal subshifts and topological conjugacy of two-sided normal subshifts are characterized in terms of the associated $C^*$-algebras and the associated stabilized $C^*$-algebras with its diagonals and gauge actions, respectively.
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。
