A NON-COMMUTATIVE GENERALIZATION OF GELFAND-NA1MARK THEOREM  

作　　者：李炳仁 

机构地区：[1]Institute of Mathematics, Academia Sinica

出　　处：《Science China Mathematics》1990年第2期156-164,共9页中国科学：数学（英文版）

摘　　要：This paper proves that a c*-algebra is standard if and only if it is isometrically *-isomorphic to a c*-algebra defined by a continued field of primitive c*-algebras, so a more reasonable definition of standard c*-algebras is obtained. However, an example of a non-normal GCR c*-algebra is given, which solves negatively an open question presented by W. H. Ching in 1976.This paper proves that a c*-algebra is standard if and only if it is isometrically *-isomorphic to a c*-algebra defined by a continued field of primitive c*-algebras, so a more reasonable definition of standard c*-algebras is obtained. However, an example of a non-normal GCR c*-algebra is given, which solves negatively an open question presented by W. H. Ching in 1976.

关 键 词：standard C*-ALGEBRAS PRIMITIVE C*-ALGEBRAS continued field. 

分 类 号：N[自然科学总论]