拟对角扩张C*-代数的性质
Some Properties of the Quasidiagonal Extension C* algebras
投稿时间:2016-12-06  修订日期:2017-06-10
DOI:10.11908/j.issn.0253-374x.2017.08.020     稿件编号:    中图分类号:O177
 
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中文摘要
      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.
英文摘要
      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.
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