Structure of non-unital purely infinite simple rings

2004/10/04 by M. A. González-Barroso, González-Barroso, M. A., Enrique Pardo +2
Mathematics · #16D70 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.RA #msc:16D70

paper · pdf · doi:10.48550/arxiv.math/0410049

Revised version. This paper was accepted for publication in Communications in Algebra

openalex publication_date 2004/10/04 · arxiv created 2005/03/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we study the notion of purely infinite simple ring in the case of non-unital rings, and we obtain an analog to Zhang's Dichotomy for σ-unital purely infinite simple C*-algebras in the purely algebraic context.

Related

• Ring C*-algebras
• K₀ of purely infinite simple regular rings
• Non-simple purely infinite rings
• Purely infinite simple C^*-algebras arising from free product constructions
• A properly infinite C*-algebra which is not K₁-injective