C*-简单性没有局部障碍
C*-simplicity has no local obstruction
摘要:
2016年,我解决了de la Harpe在2006年提出的一个问题:是否存在非离散的C*-单群?然而,由于所提供的C*-单群(及其算子代数)非常接近离散群,因此该解决方案并不完全令人满意。所有以前已知的例子都是这种形式。本文给出了非离散C*-单群的另一种构造方法。标题中的陈述随后出现。这特别给出了非初等C*-单群(在韦索莱克意义上)的第一个例子。
英文摘要:
In 2016, I solved a problem of de la Harpe in 2006: Is there a non-discrete C*-simple group? However the solution was not fully satisfactory as the provided C*-simple groups (and their operator algebras) are very close to discrete groups. All previously known examples are of this form. In this article I give yet another construction of non-discrete C*-simple groups. The statement in the title then follows. This in particular gives the first examples of non-elementary C*-simple groups (in Wesolek's sense).
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