与同步子移位和流等价相关的$C^*$ -代数
$C^*$-algebras associated with lambda-synchronizing subshifts and flow equivalence
摘要：
称为$λ$ -同步的子移位的某种同步性质产生称为子移位的$λ$ -同步$λ$-图系统的$λ$ -图系统。$λ$ -同步$λ$ -图形系统是$λ$ -同步子移位的左Fischer覆盖模拟。本文研究了与$λ$ -同步$λ$ -图系统相关的$C^*$ -代数的代数结构，证明了在$λ$ -同步子移位的流等价下，$C^*$ -代数与其Cartan子代数的稳定同构类是不变的.
英文摘要：
A certain synchronizing property for subshifts called $λ$-synchronization yields $λ$-graph systems called the $λ$-synchronizing $λ$-graph systems for the subshifts. The $λ$-synchronizing $λ$-graph system is a left Fischer cover analogue for a $λ$-synchronizing subshift. We will study algebraic structure of the $C^*$-algebra associated with the $λ$-synchronizing $λ$-graph system and prove that the stable isomorphism class of the $C^*$-algebra with its Cartan subalgebra is invariant under flow equivalence of $λ$-synchronizing subshifts.
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