Elementary constructions of non-discrete C*-simple groups

TL;DR

This paper constructs non-discrete C*-simple groups using elementary methods based on discrete cases, advancing understanding of the structure of such groups.

Contribution

It provides new elementary constructions of non-discrete C*-simple groups relying solely on discrete case results.

Findings

Constructed non-discrete C*-simple groups using elementary methods.

Demonstrated that such groups can be built from discrete case results.

Extended the class of known C*-simple groups with simpler proofs.

Abstract

Recently Raum has given the first examples of locally compact non-discrete groups with the simple reduced group C*-algebra, answering a question of de la Harpe. Here we construct such groups whose proof relies only on results in the discrete case.