Speaker: Yuhei Suzuki (Hokkaido Univ.)

Title: C^*-simplicity has no local obstruction

Time/Date: 4:45-6:15pm, June 15 (Tue.), 2021

Room: Online

Abstract: C^*-simplicity of a group is the simplicity of the reduced group C^*-algebra. In 2016, I solved a problem of de la Harpe in '06 :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 talk, 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).

Based on arXiv:2103.10404. [speak in Japanese, slides are in English].