论文标题
小型理想的c*-algebas扩展
Extensions of C*-algebas by a small ideal
论文作者
论文摘要
我们对表格$$ 0 \ rightarrow \ w \ rightarrow \ d \ rightarrow a \ rightarrow 0 $$进行分类，其中$ \ w $是具有独特的Tracial状态的独特可分离的简单C*-Algebra，具有独特的Tracial状态，具有有限的核维度，具有$ k_i（\ w）= \ \ \ \ \ \ \ \ \ \ \ \ i = 0. $ i = 0.定理（uct）和$ a $是可分离的$ \ w $ - embeddable c*-algebra，可满足UCT。实际上，我们证明了更一般的结果。 我们还对只有一个合适的封闭理想$ \ w的符合\ ca进行了分类。$
We classify all essential extensions of the form $$0 \rightarrow \W \rightarrow \D \rightarrow A \rightarrow 0$$ where $\W$ is the unique separable simple C*-algebra with a unique tracial state, with finite nuclear dimension and with $K_i(\W)=\{0\}$ ($i=0,1$) which satisfies the Universal Coefficient theorem (UCT), and $A$ is a separable amenable $\W$-embeddable C*-algebra which satisfies the UCT. We actually prove more general results. We also classify a class of amenable \CA s which have only one proper closed ideal $\W.$
