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

Autor:	Klisse, Mario
Rok vydání:	2021
Předmět:	Mathematics - Operator Algebras Mathematics - Group Theory Mathematics - Representation Theory 20C08 20F55 46L05 46L6
Druh dokumentu:	Working Paper
Popis:	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. Comment: 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
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2105.05205 Zobrazit plný text záznamu View this record from Arxiv