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Classification of actions of discrete Kac algebras on injective factors /

"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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Masuda, Toshihiko (Autor), Tomatsu, Reiji, 1978- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2017.
Colección:Memoirs of the American Mathematical Society ; no. 1160.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario:"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."--Publisher website
Notas:"Volume 245, Number 1160 (fifth of 6 numbers), January 2017."
Descripción Física:1 online resource (ix, 118 pages)
Bibliografía:Includes bibliographical references (pages 113-116) and index.
ISBN:9781470436094
1470436094
ISSN:0065-9266 ;