Year: 2026
Type: preprint
Abstract: We prove that $\mathrm{C}^*$-simple groups which admit a faithful extreme boundary are $\mathrm{C}^*$-selfless. More precisely, we establish complete selflessness of the canonical inclusion of the reduced group $\mathrm{C}^*$-algebra into the reduced crossed product. In particular, the Higman--Thompson groups and the Brin--Thompson groups are $\mathrm{C}^*$-selfless.
Source: arXiv (Cornell University)
Author: Arimoto, Ryoya
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214310917