论文标题
产品类型算术组的魅力性
Charmenability of arithmetic groups of product type
论文作者
论文摘要
我们讨论了针对产品类型算术组的字符空间和正面确定功能及其相关动力的特殊属性。使这些特性的公理化，我们定义了魅力性和义务的概念，并研究了它们对给定群体的拓扑动态，千古理论和统一表示理论的应用。为此，我们研究了某些von Neumann代数之间地位的正常UCP图的奇异性特性。我们还将讨论应用于作用于树木产品的群体。
We discuss special properties of the spaces of characters and positive definite functions, as well as their associated dynamics, for arithmetic groups of product type. Axiomatizing these properties, we define the notions of charmenability and charfiniteness and study their applications to the topological dynamics, ergodic theory and unitary representation theory of the given groups. To do that, we study singularity properties of equivariant normal ucp maps between certain von Neumann algebras. We apply our discussion also to groups acting on product of trees.
