论文标题
Zappa-Szép跌落捆绑包和群体的产品
Zappa-Szép product of a Fell bundle and a groupoid
论文作者
论文摘要
我们定义了一个由群体固定的Zappa-szép产品，这是基础类固醇的Zappa-szép产品的倒束束。在某些假设下，以这种方式出现了群体素的Zappa-szép产品的每一个捆绑。然后，我们研究与Zappa-szép产品Fly Bundle相关的表示形式，并显示其与协变为代表的关系。最后，我们研究了相关的通用c* - 代数，事实证明这是c* - 蓝色，概括了较早的结果，该结果介绍了c.*-algebras的Zappa-Szép产品。在离散组的情况下，fell束的通用c*代数嵌入了Zappa-Szép产品的通用C*-Algebra中。
We define the Zappa-Szép product of a Fell bundle by a groupoid, which turns out to be a Fell bundle over the Zappa-Szép product of the underlying groupoids. Under certain assumptions, every Fell bundle over the Zappa-Szép product of groupoids arises in this manner. We then study the representation associated with the Zappa-Szép product Fell bundle and show its relation to covariant representations. Finally, we study the associated universal C*-algebra, which turns out to be a C*-blend, generalizing an earlier result about the Zappa-Szép product of groupoid C*-algebras. In the case of discrete groups, the universal C*-algebra of a Fell bundle embeds injectively inside the universal C*-algebra of the Zappa-Szép product Fell bundle.
