An Introduction To The Classification Of Amenable C*-algebras

The theory and application of C*-algebras are related to many fields as operator theory, group representation, topology, dynamical system. Since 1993, Elliott initiated the program of classification of C*-algebras by K theory data. This paper is almost based on the book of Professor Lin and the viedio on the chaoxing and makes same sort and supplement. This paper mainly summarizes some basic knowledge about the classification of amenable C*-algebras.