算子代数分类浅探

Introduction to the classification of operator algebras

本文介绍半个多世纪以来算子代数主要是C＊-代数分类理论发展的概况；叙述了一系列当年的主要结果及相关的主要概念；也谈到了目前世界上最新的包括作者最近的关于单顺从C＊-代数的分类定理以及有关的应用，并列出了一些今后C-代数的发展课题．

In this article, developments in operator algebras, in particular, in classification of C＊-algebras, are introduced. Some important historical results and related notions are discussed. The most recent results as well as author＇s recent contributions in the classification of simple amenable C＊-algebras and its applications are also presented. This article ends with a list of questions and problems in the future development of C＊-algebras.