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Proof of inseparable prime C~*-algebras A with RR(A) = 0 being orimitive C~*-algebras |
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| Institution: | ZHANG Lunchuan and MA Jipu Department of Mathematics , Beijing Normal University , Beijing 100875, China ; Department of Mathematics , Nanjing University, Nanjing 210093, China |
| Abstract: | 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. |
| Keywords: | prime C~*-algebras primitive C~*-algebras hereditary C~*-algebras open projection and close projection |
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