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The canonical modular homomorphism provides an embedding of R R into the outer automorphism group O u t (M) Out (M) of any type I I I 1 III₁ factor M M. We provide an explicit construction of a full factor of type I I I 1 III₁ with separable predual such that the outer automorphism group is minimal, i. e. this embedding is an isomorphism and a homeomorphism. We obtain such a I I I 1 III₁ factor by using an amalgamated free product construction.
Soham Chakraborty (Fri,) studied this question.
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