论文标题
Cuntz-Krieger唯一定理，用于Cuntz-Pimsner代数
A Cuntz-Krieger Uniqueness Theorem for Cuntz-Pimsner Algebras
论文作者
论文摘要
我们介绍了C*-correspondence的属性，我们称之为条件，作为图形条件（L）的类似物。我们使用条件来证明Cuntz-Krieger唯一定理用于Cuntz-Pimsner代数，并获得足够的条件，以简单地简化Cuntz-Pimsner代数。我们还证明，如果Q是没有水槽的拓扑颤动，而x（q）是相关的c* - 相应的对应，则x（q）满足条件（s），并且仅当q满足条件（l）。最后，我们考虑了几个示例，可以将和对比条件与Schweizer的非周期条件进行比较和对比条件。
We introduce a property of C*-correspondences, which we call Condition (S), to serve as an analogue of Condition (L) of graphs. We use Condition (S) to prove a Cuntz-Krieger Uniqueness Theorem for Cuntz-Pimsner algebras and obtain sufficient conditions for simplicity of Cuntz-Pimsner algebras. We also prove that if Q is a topological quiver with no sinks and X(Q) is the associated C*-correspondence, then X(Q) satisfies Condition (S) if and only if Q satisfies Condition(L). Finally, we consider several examples to compare and contrast Condition (S) with Schweizer's nonperiodic condition.
