  Based on the analysis on the Ocneanu/Groh-Raynaud ultraproducts and the
Effros-Mar\'echal topology on the space vN(H) of von Neumann algebras acting on
a separable Hilbert space H, we show that for a von Neumann algebra M in vN(H),
the following conditions are equivalent: (1) M has the Kirhcberg's quotient
weak expectation property (QWEP). (2) M is in the closure of the set F_{inj of
injective factors on H with respect to the Effros-Mar\'echal topology. (3) M
admits an embedding i into the Ocneanu ultrapower R_{infty}^{omega} of the
injective III_1 factor R_{\infty} with a normal faithful conditional
expectation epsilon: R_{infty}^{omega} to i(M). (4) For every epsilon>0,
natural number n, and xi_1,...,xi_n in P_M^{natural}, there is a natural number
k and a_1,...,a_nin M_k(C)_+, such that |<xi_i,xi_j>-tr_k(a_ia_j)|<epsilon
(1<=i,j<=n) holds, where tr_k is the tracial state on M_k(C), and P_M^{natural}
is the natural cone in the standard form of M.
