  We prove that if $X_{1},...,X_{n} (n >1)$ are selfadjoints in a
$W^{*}$-probability space with finite non-microstates free Fisher information,
then the von Neumann algebra $W^{*}(X_{1},...,X_{n})$ they generate doesn't
have property $\Gamma$ (especially is not amenable). This is an analog of a
well-known result of Voiculescu for microstates free entropy. We also prove
factoriality under finite non-microstates entropy.
