Cp-classes of operators in C*-algebras

Journal of the Australian Mathematical Society

S. Giotopoulos¹ 

关键词: 46 L 05;    47 B 10;   

DOI  :  10.1017/S1446788700027142

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

We construct a suitable representation of a C*-algebra that carries single elements to rank one operators. We also prove an abstract spectral theorem for compact elements in the algebra. This leads naturally to an abstract definition of Cp-classes of compact elements in the algebra.

【 授权许可】

Unknown