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

Mario Klisse

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

Operator Algebras 2022-09-29 v2 Group Theory Representation Theory

Authors: Mario Klisse

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.

Keywords

right-angled hecke c*-algebras simplicity coxeter groups center character space multi-parameter

Cite

@article{arxiv.2105.05205,
  title  = {Simplicity of right-angled Hecke C$^\ast$-algebras},
  author = {Mario Klisse},
  journal= {arXiv preprint arXiv:2105.05205},
  year   = {2022}
}

Comments

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

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

Abstract

Keywords

Cite

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