Classification of actions of discrete Kac algebras on injective factors
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2013
- DOI:
- 10.48550/arXiv.1306.5046
- arXiv:
- arXiv:1306.5046
- Bibcode:
- 2013arXiv1306.5046M
- Keywords:
-
- Mathematics - Operator Algebras;
- 46L65;
- 46L55
- E-Print:
- 120 pages. Minor corrections