Simplicity of Right-Angled Hecke C∗-Algebras

Mario Klisse

doi:10.1093/imrn/rnac036

Simplicity of Right-Angled Hecke C^∗-Algebras

Mario Klisse^*

^*Corresponding author for this work

Analysis

Research output: Contribution to journal › Article › Scientific › peer-review

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.

Original language	English
Pages (from-to)	6598-6623
Number of pages	26
Journal	International Mathematics Research Notices
Volume	2023
Issue number	8
DOIs	https://doi.org/10.1093/imrn/rnac036
Publication status	Published - 2023

Access to Document

10.1093/imrn/rnac036

Cite this

@article{36c65a903b034245b3b1af757a668dfd,

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

author = "Mario Klisse",

year = "2023",

doi = "10.1093/imrn/rnac036",

language = "English",

volume = "2023",

pages = "6598--6623",

journal = "International Mathematics Research Notices",

issn = "1073-7928",

publisher = "Oxford University Press",

number = "8",

}

TY - JOUR

T1 - Simplicity of Right-Angled Hecke C∗-Algebras

AU - Klisse, Mario

PY - 2023

Y1 - 2023

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85159797972&partnerID=8YFLogxK

U2 - 10.1093/imrn/rnac036

DO - 10.1093/imrn/rnac036

M3 - Article

AN - SCOPUS:85159797972

SN - 1073-7928

VL - 2023

SP - 6598

EP - 6623

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 8

ER -

Simplicity of Right-Angled Hecke C^∗-Algebras

Abstract

Access to Document

Other files and links

Fingerprint

Cite this