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Classification of Actions of Discrete Kac Algebras on Injective Factors

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Classification of Actions of Discrete Kac Algebras on Injective Factors Synopsis

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.

About This Edition

ISBN: 9781470420550
Publication date:
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