论文标题
反向半群的布尔值的商
Quotients of the Booleanization of an inverse semigroup
论文作者
论文摘要
我们介绍了$ x $ -to-o-to-to-oin代表反向半群的表示，这是对封面代表的概念的放松。我们构建了倒数$ x $ -to-to-join booleanization underseive $ s $的布尔，作为通用布尔尼化$ {\ mathrm b}（s）$的弱群落证明的商，并表明所有此类商$ {\ mathrm b}（s）$均通过$ x $ -to-to-to-join代表。作为应用程序，我们为Zappa-Szép产品的$ C^*$ - 代数的中间边界商提供了Gromoid模型，由Brownlowe，Ramagge，Robertson和Whittaker提供。
We introduce $X$-to-join representations of inverse semigroups which are a relaxation of the notion of a cover-to-join representation. We construct the universal $X$-to-join Booleanization of an inverse semigroup $S$ as a weakly meet-preserving quotient of the universal Booleanization ${\mathrm B}(S)$ and show that all such quotients of ${\mathrm B}(S)$ arise via $X$-to-join representaions. As an application, we provide groupoid models for the intermediate boundary quotients of the $C^*$-algebra of a Zappa-Szép product right LCM semigroup by Brownlowe, Ramagge, Robertson and Whittaker.
