拟对角扩张C*-代数的性质

摘要

0→J→A→B→0是一个拟对角扩张.证明以下结论:①如果J和B具有弱可比性质,则A也具有弱可比性质;②如果J和B具有强消去性质,则A也具有强消去性质;③如果J和B具有n-无孔性质,则A也具有n-无孔性质.%Let 0 →J→A → B→ 0 be a quasidiagonal extension.We show the following results:① suppose that J and B have the weakly comparison properties,then A has the weakly comparison property.② suppose that J and B have the strictly cancellation properties,then A has the strictly cancellation property.③ suppose that J and B have the n-unperforated properties,then A has the n-unperforated property.