论文标题
部分可观测时空混沌系统的无模型预测
C*-simplicity of relative profinite completions of generalized Baumslag-Solitar groups
论文作者
论文摘要
铃木最近提供了局部紧凑的c* - 简单组和raum的非差异示例的结构，显示了通过使用suzuki的结果，Baumslag-Solitar群体相对涂层术的相对涂料完成。我们将此结果扩展到了一些基本图组的基本组，称为广义Baumslag-solitar群体。在本文中，我们专注于一些足够的条件，以表明这些局部紧凑的组是C* - 简单的，并且这些减少的C*-ergebras的KMS重量是唯一的。这种情况是平均离散组的属性的类似物，并为非差异C* - 简单组的几种已知的构建体持有。
Suzuki recently gave constructions of non-discrete examples of locally compact C*-simple groups and Raum showed C*-simplicity of the relative profinite completions of the Baumslag-Solitar groups by using Suzuki's results. We extend this result to some fundamental groups of graphs of groups called generalized Baumslag-Solitar groups. In this article, we focus on some sufficient condition to show that these locally compact groups are C*-simple and that KMS-weights of these reduced group C*-algebras are unique. This condition is an analogue of the Powers averaging property of discrete groups and holds for several currently known constructions of non-discrete C*-simple groups.
