  In the paper, we consider the question whether a unital full amalgamated free
product of quasidiagonal C*-algebras is quasidiagonal again. We give a
sufficient condition such that a unital full amalgamated free product of
quasidiagonal C*-algebras with amalgamation over a finite dimensional C*-
algebra is quasidiagonal. Applying this result, we conclude that a unital full
free product of two AF algebras with amalgamation over a finite-dimensional
C*-algebra is AF if there are faithful tracial states on each of these two AF
algebras such that the restrictions on the common subalgebra agree.
