2015•International Journal of MathematicsRequires access
Classification of actions of compact abelian groups on subfactors with index less than 4
Koichi Shimada
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Abstract
We classify actions of discrete abelian groups on some inclusions of von Neumann algebras, up to cocycle conjugacy. As an application, we classify actions of compact abelian groups on the inclusions of approximately finite dimensional (AFD) factors of type II1 with index less than 4, up to stable conjugacy.