Ore么半群上的乘积系
Product systems over Ore monoids
摘要：
我们解释的Cuntz-Pimsner协方差条件作为一个非退化条件的产品系统的表示。利用群上Fell丛的归纳极限和截口代数构造Ore么半群上的Cuntz-Pimsner代数.通过拓扑对应，我们构造了一个由Ore么半群在空间上的作用所形成的Cuntz-Pimsner代数的广群模型。我们证明了这个广群何时是有效的或局部收缩的，并描述了它的不变子集和不变测度。
英文摘要：
We interpret the Cuntz-Pimsner covariance condition as a nondegeneracy condition for representations of product systems. We show that Cuntz-Pimsner algebras over Ore monoids are constructed through inductive limits and section algebras of Fell bundles over groups. We construct a groupoid model for the Cuntz-Pimsner algebra coming from an action of an Ore monoid on a space by topological correspondences. We characterise when this groupoid is effective or locally contracting and describe its invariant subsets and invariant measures.
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