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Remarks on automorphisms of subfactors

Remarks on automorphisms of subfactors

We establish certain properties of automorphisms on an inclusion of AFD type <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="II Subscript 1"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mtext>II</mml:mtext> <mml:mn>1</mml:mn> </mml:msub> </mml:mrow> <mml:annotation encoding="application/x-tex">{\text {II}_1}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> factors with finite index and finite depth and discuss their applications to the classification problem of AFD …