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Classification of actions of discrete Kac algebras on injective factors
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...
Autores principales: | , |
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Lenguaje: | eng |
Publicado: |
American Mathematical Society
2017
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Materias: | |
Acceso en línea: | http://cds.cern.ch/record/2279721 |
Sumario: | 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. |
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