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.
