Classification of Actions of Discrete Kac Algebras on Injective Factors
Download or Read eBook Classification of Actions of Discrete Kac Algebras on Injective Factors PDF written by Toshihiko Masuda and published by American Mathematical Soc.. This book was released on 2017-01-18 with total page 134 pages. Available in PDF, EPUB and Kindle.
| Author | : Toshihiko Masuda |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 134 |
| Release | : 2017-01-18 |
| ISBN-10 | : 9781470420550 |
| ISBN-13 | : 1470420554 |
| Rating | : 4/5 (50 Downloads) |
Book Synopsis Classification of Actions of Discrete Kac Algebras on Injective Factors by : Toshihiko Masuda
Book excerpt: 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.
