Simplicity and the stable rank of some free product C*-algebras

1997/02/17 by Kenneth J. Dykema, Dykema, Kenneth J. · 1 citation
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #funct-an #math.OA

paper · pdf · doi:10.48550/arxiv.funct-an/9702015

arxiv created 1997/02/17 · openalex publication_date 1997/02/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A necessary and sufficient condition for the simplicity of the C*-algebra reduced free product of finite dimensional abelian algebras is found, and it is proved that the stable rank of every such free product is 1. Related results about other reduced free products of C*-algebras are proved.

Cited by

• Universal C^∗-Algebras from Graph Products: Structure and Applications
• Selfless reduced free product C^*-algebras

Related

• The stable rank of some free product C*-algebras
• Purely infinite, simple C*-algebras arising from free product constructions, III
• Reduced Free Products of Finite Dimensional C^*-Algebras
• On the Structure of Some Reduced Amalgamated Free Product C*-Algebras
• Selfless reduced free products and graph products of C^∗-algebras