  We prove that if $A$ is a non-separable abelian tracial von Neuman algebra
then its free powers $A^{*n}, 2\leq n \leq \infty$, are mutually non-isomorphic
and with trivial fundamental group, $\mathcal F(A^{*n})=1$, whenever $2\leq
n<\infty$. This settles the non-separable version of the free group factor
problem.
