Simplicity of right-angled Hecke C$^\ast$-algebras

Published 11 May 2021 in math.OA, math.GR, and math.RT | (2105.05205v2)

Abstract: By exploiting properties of boundaries associated with Coxeter groups we obtain a complete characterization of simple right-angled multi-parameter Hecke C$^{{\ast}$-algebras.} This extends previous results by Caspers, Larsen and the author. Based on work by Raum and Skalski, we further describe the center and the character space of right-angled Hecke C$^{{\ast}$-algebras.}