论文标题
通过单一混合操作员同时平均为零
Simultaneous averaging to zero by unitary mixing operators
论文作者
论文摘要
我们表明，如果每个元素都可以通过单一混合操作员将c* - 代数的矢量子空间平均为零，那么子空间的所有元素都可以通过单一混合操作员的网同时平均为零。此外，此类子空间在C*-Algebra上的换向器和核心方面接受了一个简单的描述。我们将此结果应用于具有dixmier属性的C* - 代数中的中心价值观。
We show that if every element a vector subspace of a C*-algebra can be averaged to zero by means of unitary mixing operators, then all the elements of the subspace can be simultaneously averaged to zero by a net of unitary mixing operators. Moreover, such subspaces admit a simple description in terms of commutators and kernels of states on the C*-algebra. We apply this result to center-valued expectations in C*-algebras with the Dixmier property.
