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user136400
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Suppose $M$ is $II_{1}$ factor but need not be in standard form. Under what condition (pnon $M$ or Hilbert space) is the commutant $M'$ of $M$ again $II_{1}$ factor on the Hilbert space acted by $M$?

Suppose $M$ is $II_{1}$ factor but need not be in standard form. Under what condition (pn $M$ or Hilbert space) is the commutant $M'$ of $M$ again $II_{1}$ factor on the Hilbert space acted by $M$?

Suppose $M$ is $II_{1}$ factor but need not be in standard form. Under what condition (on $M$ or Hilbert space) is the commutant $M'$ of $M$ again $II_{1}$ factor on the Hilbert space acted by $M$?

TeX and slight grammar fix (probably more needed)
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LSpice
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On commutant of {II_$II_{1}}$ factors

Suppose $M$ is $II_{1}$ factor but need not be in standard form, under which. Under what condition  (Onpn $M$ or Hilbert space) is the commutant $M'$ of $M$, $M'$ is again $II_{1}$ factor on the Hilbert space acted by $M$?

On commutant of {II_{1}} factors

Suppose $M$ is $II_{1}$ factor but need not be in standard form, under which condition(On $M$ or Hilbert space) commutant of $M$, $M'$ is again $II_{1}$ factor on the Hilbert space acted by $M$?

On commutant of $II_{1}$ factors

Suppose $M$ is $II_{1}$ factor but need not be in standard form. Under what condition  (pn $M$ or Hilbert space) is the commutant $M'$ of $M$ again $II_{1}$ factor on the Hilbert space acted by $M$?

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user136400
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On commutant of {II_{1}} factors

Suppose $M$ is $II_{1}$ factor but need not be in standard form, under which condition(On $M$ or Hilbert space) commutant of $M$, $M'$ is again $II_{1}$ factor on the Hilbert space acted by $M$?