Homotopy invariance of AF-embeddability

Abstract

We prove that AF-embeddability is a homotopy invariant in the class of separable exact $C^{\ast }$-algebras. This work was inspired by Spielberg's work on homotopy invariance of AF-embeddability and Dadarlat's serial works on AF-embeddability of residually finite dimensional $C^{\ast }$-algebras.

5 pages