Classification of actions of compact abelian groups on subfactors with   index less than 4
  We calssify 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 AFD factors of type II_1 with index less than 4, up to stable conjugacy. 
Koichi Shimada
math.OA