Classification of Actions of Discrete Kac Algebras on Injective Factors (Memoirs of the American Mathematical Society, Band 245) - Softcover

Inhaltsangabe

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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