Classification of actions of discrete Kac algebras on injective factors
Operator Algebras
2016-05-11 v2
Abstract
We will study two kinds of actions of a discrete amenable Kac algebra. The first one is an action whose modular part is normal. We will construct a new invariant which generalizes a characteristic invariant for a discrete group action, and we will present a complete classification. The second is a centrally free action. By constructing a Rohlin tower in an asymptotic centralizer, we will show that the Connes-Takesaki module is a complete invariant.
Keywords
Cite
@article{arxiv.1306.5046,
title = {Classification of actions of discrete Kac algebras on injective factors},
author = {Toshihiko Masuda and Reiji Tomatsu},
journal= {arXiv preprint arXiv:1306.5046},
year = {2016}
}
Comments
120 pages. Minor corrections