Commutativity of automorphisms of subfactors modulo inner automorphisms
Commutativity of automorphisms of subfactors modulo inner automorphisms
We introduce a new algebraic invariant <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="chi Subscript a Baseline left-parenthesis upper M comma upper N right-parenthesis"> <mml:semantics> <mml:mrow> <mml:msub> <mml:mi>χ</mml:mi> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi>a</mml:mi> </mml:mrow> </mml:msub> <mml:mo stretchy="false">(</mml:mo> <mml:mi>M</mml:mi> <mml:mo>,</mml:mo> <mml:mi>N</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">\chi _{a}(M,N)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of a subfactor <inline-formula content-type="math/mathml"> <mml:math …