科研之友
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摘要
Let B be a separable stable and prime C*-algebra. We show that every proper nontrivial ideal in M(B)/B (and hence every proper ideal in M(B) which properly contains B) is not stable.
Some consequences are counterexamples naturally occuring, in the non-sigma-unital case, to Zhang's Dichotomy as well as the Hjelmborg-Rordam theory of stability.
- 出版日期2010-1
