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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 $M$?
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 $M$?
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 $M$?