@article{3b5a5a6267444a3588bc5267af5c6046,
title = "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.",
keywords = "Action, Discrete Kac algebra, Von Neumann algebra",
author = "Toshihiko Masuda and Reiji Tomatsu",
note = "Publisher Copyright: {\textcopyright} 2016 American Mathematical Society. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.",
year = "2017",
month = jan,
doi = "10.1090/memo/1160",
language = "English",
volume = "245",
pages = "1--134",
journal = "Memoirs of the American Mathematical Society",
issn = "0065-9266",
publisher = "American Mathematical Society",
number = "1160",
}