# Extensions of C*-algebas by a small ideal

@article{Lin2020ExtensionsOC, title={Extensions of C*-algebas by a small ideal}, author={Huaxin Lin and Ping Wong Ng}, journal={arXiv: Operator Algebras}, year={2020} }

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… CONTINUE READING

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