Let $(M, \tau)$ be a $\mathrm{II_{1}}$ factor equipped with the faithful normal tracial state $\tau$ acts on $L^{2}(M,\tau)$ is in standard form. The question is: if we consider $PMP(P\in M)$ and $QM(Q \in M')$ are vN algebras acting on $PL^{2}(M,\tau)$ and $QL^{2}(M,\tau)$ are in standard form or not?