论文标题
对产品系统的小组行动
Group Actions on Product Systems
论文作者
论文摘要
我们介绍了当地紧凑型组的产品系统交叉产品的概念。我们证明，一个可行的团体由行列和忠实的产品系统交叉的产品也是排队和忠实的产品系统。我们说明了与$ K $ graphs和更高排名的Doplicher-Roberts代数相关的示例。
We introduce the concept of crossed product of a product system by a locally compact group. We prove that the crossed product of a row-finite and faithful product system by an amenable group is also a row-finite and faithful product system. We illustrate with examples related to group actions on $k$-graphs and to higher rank Doplicher-Roberts algebras.
