Classification of Actions of Discrete Kac Algebras on Injective Factors

Ebook Details


Toshhiko Masuda, Reiji Tomatsu

Year 2017
Pages 118
Publisher Amer Mathematical Society
Language en
ISBN 9781470420550
File Size 1022.01 KB
File Format PDF
Download Counter 87
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Ebook Description

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.