open access

https://hdl.handle.net/2115/85064

C*-simplicity has no local obstruction

英語

2022-03-16

Cambridge University Press

Forum of Mathematics, Sigma

10

e18

In 2016, I solved a problem of de la Harpe from 2006: Is there a nondiscrete C*-simple group? However the solution was not fully satisfactory, as the C*-simple groups provided (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 nondiscrete C*-simple groups. The statement in the title then follows. This in particular gives the first examples of nonelementary C*-simple groups (in Wesolek's sense).

学術雑誌論文

Version of Record

2050-5094