Proof of inseparable prime C~*-algebras A with RR(A)=0 being primitive C~*-algebras  

Proof of inseparable prime C~*-algebras A with RR(A) = 0 being orimitive C~*-algebras

作　　者：ZHANG Lunchuan and MA JipuDepartment of Mathematics , Beijing Normal University , Beijing 100875, China  Department of Mathematics , Nanjing University, Nanjing 210093, China 

出　　处：《Chinese Science Bulletin》1999年第8期688-690,共3页

摘　　要：First, that prime C~* -algebras with countable primitive ideals are all primitive C*-algebras is proved. Then the proof that prime C~* -algebras with property RR(A) = 0 are all primitive C~*-algebras is given.First, that prime C~* -algebras with countable primitive ideals are all primitive C~*-algebras is proved. Then the proof that prime C~* -algebras with property RR(A) = 0 are all primitive C~*-algebras is given.

关 键 词：PRIME C~*-algebras PRIMITIVE C~*-algebras HEREDITARY C~*-algebras open PROJECTION and close projection. 

分 类 号：O177.5[理学—数学]