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user136400
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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 $PMP(P\in M)$ acting on $PL^{2}(M,\tau)$ and $QM(Q \in M')$ acting on $QL^{2}(M,\tau)$ are, are these vN algebra in standard form or not?

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?

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 vN algebras $PMP(P\in M)$ acting on $PL^{2}(M,\tau)$ and $QM(Q \in M')$ acting on $QL^{2}(M,\tau)$, are these vN algebra in standard form or not?

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user136400
user136400
  • 677
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On standard form of corners

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?