具有迹-NG性质的C^＊-代数的K0群性质

K_0 Group Properties of C~*-algebras with Tracial-NG Properties

研究C*-代数K0群的弱无孔性质、Riesz内插值性质,把这2种性质统称为NG性质;并且引入具有迹-NG性质的C*-代数概念.如果单的有单位元的C*-代数具有迹NG性质,则群K0(A)具有NG性质.

This paper presents an introduction of the concept of NG property of K0 groups of C^＊-algebras, which includes weakly unperforated property and Riesz interpolation property. The definition of tracial-NG property of C^＊-algebras is also presented. A conclusion is drawn that the K0 groups of simple C^＊-algebras which possess tracial-NG properties have NG properties.