  We study lifting properties for full product C*-algebras with amalgamation
over ${\mathbb C}1$ and give new proofs for some results of Kirchberg and
Pisier. We extend the result of Choi on the quasidiagonality of $C^*({\mathbb
F}_n)$, proving that the free product with amalgamation over ${\mathbb C}1$ of
a family of unital quasidiagonal C*-algebras is quasidiagonal.
