Classification of actions of compact abelian groups on subfactors with index less than 4

Koichi Shimada

Classification of actions of compact abelian groups on subfactors with index less than 4

Operator Algebras 2014-12-16 v1

Authors: Koichi Shimada

Abstract

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.

Keywords

subfactors compact abelian groups von neumann algebras cocycle conjugacy stable conjugacy afd factors index less than 4

Cite

@article{arxiv.1412.4319,
  title  = {Classification of actions of compact abelian groups on subfactors with index less than 4},
  author = {Koichi Shimada},
  journal= {arXiv preprint arXiv:1412.4319},
  year   = {2014}
}

Comments

26 pages

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