论文标题
$ \ MATHCAL {O} _ \ infty $ - 稳定代数的扩展的核维度
Nuclear dimension of extensions of $\mathcal{O}_\infty$-stable algebras
论文作者
论文摘要
我们为$ \ Mathcal {o} _ \ infty $ - 稳定$ \ rm {c}^*$ - 代数的扩展的核维度获得了改进的上限。特别是，我们证明了$ \ MATHCAL {O} _ \ infty $ - 稳定$ \ rm {C}^*$ - 代数为稳定的AF代数是一个。
We obtain an improved upper bound for the nuclear dimension of extensions of $\mathcal{O}_\infty$-stable $\rm{C}^*$-algebras. In particular, we prove that the nuclear dimension of a full extension of an $\mathcal{O}_\infty$-stable $\rm{C}^*$-algebra by a stable AF algebra is one.
