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

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.

18 pages; v2: typos corrected, correction of a mistake in Theorem 4.3, added Corollary 4.4 as well as an example on the infinitely generated case. Accepted by IMRN

References in corpus (1)

• Semisimple Zariski closure of Coxeter groups

Cited by in corpus (1)

• The ideal intersection property for essential groupoid C*-algebras