The authors study two kinds of actions of a discrete amenable Kac algebra. The first one is an action whose modular part is normal. They 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, the authors show that the Connes-Takesaki module is a complete invariant.
ISBN: | 9781470420550 |
Publication date: | 30th March 2017 |
Author: | Toshihiko Masuda, Reiji Tomatsu |
Publisher: | American Mathematical Society |
Format: | Paperback |
Pagination: | 118 pages |
Series: | Memoirs of the American Mathematical Society |
Genres: |
Calculus and mathematical analysis |