  In this paper, we consider Blackadar and Kirchberg's MF algebras. We show
that any inner quasidiagonal C-algebra is MF algebra and we generalize
Voiculescu's Representation Theorem for a special version of MF algebras.
Moreover, we define a weak version of MF algebras namely matrical amenable (AM)
algebras, and prove some results related to this new notion. Finally, we
consider real C-algebras and we show that a real C-algebra is MF if and only if
its complexification is MF.
