K-theory of the maximal and reduced Roe algebras of metric spaces with A-by-CE coarse fibrations

Liang Guo, Zheng Luo, Qin Wang +1

Let $X$ be a discrete metric space with bounded geometry. We show that if $X$ admits an "A-by-CE coarse fibration", then the canonical quotient map $\lambda :C_{\max }^{\ast }(X)\to C^{\ast }(X)$ fro…