Maximal injective subalgebras of tensor products of free group factors

In this article, we prove the following results. Let L(F(n_i)) be the free group factor on n_i generators (n_i2) and λ(g_i) be one of standard generators of L(F(n_i)) for 1iN. Let be the abelian von Neumann subalgebra of L(F(n_i)) generated by λ(g_i). Then the abelian von Neumann subalgebra is a maximal injective von Neumann subalgebra of . When N is equal to infinity, we obtain strongly stable II₁ factors (or called McDuff factors) that contain maximal injective abelian von Neumann subalgebras.