Simplicity of Right-Angled Hecke C∗-Algebras

Journal article (2023)

Authors

M. Klisse Analysis - EEMCS
Research Group
Analysis (EEMCS) (TU Delft)
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Published Date

2023

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Analysis

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 a work by Raum and Skalski, we further describe the center and the character space of right-Angled Hecke C$^{\ast }$-Algebras.