Nonstable $K$--theory for extension algebras of the simple purely infinite $C^{\ast }$--algebra by certain $C^{\ast }$--algebras

Zhihua Li, Yifeng Xue

Let $0\longrightarrow \B\stackrel{j}{\longrightarrow}E\stackrelπ{\longrightarrow}\A\longrightarrow 0$ be an extension of $\A$ by $\B$, where $\A$ is a unital simple purely infinite…