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AT代数的拟对角扩张
引用本文:王春鹏,刘欣.AT代数的拟对角扩张[J].东北数学,2005,21(3):365-370.
作者姓名:王春鹏  刘欣
作者单位:Institute of Mathematics,Jilin University,Changchun,130012,School of Mathematics and Statistics,Northeast Normal University,Changchun,130024,School of Public Health,Jilin University,Changchun,130012
摘    要:Let A and B be C*-algebras. An extension of B by A is a short exact sequence 0 →A -→E→B→0. (*) Suppose that A is an AT-algebra with real rank zero and B is any .AT-algebra. We prove that E is an AT-algebra if and only if the extension (*) is quasidiagonal.

关 键 词:AT代数  准对角线扩展  实秩零点  C^*代数  精确序列

Quasidiagonal Extension of AT-algebras
WANG Chun-peng,LIU Xin.Quasidiagonal Extension of AT-algebras[J].Northeastern Mathematical Journal,2005,21(3):365-370.
Authors:WANG Chun-peng  LIU Xin
Institution:[1]Institute of Mathematics, Jilin University, Changchun, 130012 [2]School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024 [3]School of Public Health, Jilin University, Changchun, 130012
Abstract:
Keywords:AT-algebra  real rank zero  stable rank one  quasidiagonal extension
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