一个相对双换位定理:Pedersen问题的稳定情形
A relative bicommutant theorem: the stable case of Pedersen's question
摘要:
1976年,D. Voiculescu证明了Calkin代数的每一个可分有单位元的子C* 代数-代数都等于它的(相对)双同换子.在他的迷你课程中,G. Pedersen在1988年问,如果Voiculescu的定理可以扩展到一个简单的冠代数的$σ$ -unital C* 代数。本文对稳定的$σ$ -有单位C* 代数回答了Pedersen的问题.
英文摘要:
In 1976, D. Voiculescu proved that every separable unital sub-C*-algebra of the Calkin algebra is equal to its (relative) bicommutant. In his minicourse (see reference), G. Pedersen asked in 1988 if Voiculescu's theorem can be extended to a simple corona algebra of a $σ$-unital C*-algebra. In this note, we answer Pedersen's question for a stable $σ$-unital C*-algebra.
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