A review of the Elliott program of classification of simple amenable C*-algebras

2023/11/24 by Guihua Gong, Gong, Guihua, Huaxin Lin +3 · 1 citation
Mathematics · #46L35 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2311.14238

openalex publication_date 2023/11/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a brief survey of the development of the Elliott program of classification of separable simple amenable C^*-algebras.

Cited by

• Examples of non-amenable, boundary-amenable dynamical systems

Related

• Classification of finite simple amenable \cal Z-stable C^*-algebras
• On classification of non-unital amenable simple C*-algebras, III, Stably projectionless C*-algebras
• Regularity properties in the classification program for separable amenable C*-algebras
• Abstract classification theorems for amenable C*-algebras
• A classification of finite simple amenable \cal Z-stable C^*-algebras, I: C^*-algebras with generalized tracial rank one