Almost periodic outer flows with full Connes spectrum on the hyperfinite II1 factor satisfy the Rokhlin property and are unique up to cocycle conjugacy.
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Separable type III_1 factors with trivial bicentralizer are selfless W*-probability spaces for every faithful normal state.
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Uniqueness of almost periodic outer flows on the hyperfinite type $\mathrm{II}_1$ factor
Almost periodic outer flows with full Connes spectrum on the hyperfinite II1 factor satisfy the Rokhlin property and are unique up to cocycle conjugacy.
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Selfless W$^*$-probability spaces and Connes' bicentralizer problem
Separable type III_1 factors with trivial bicentralizer are selfless W*-probability spaces for every faithful normal state.