Classification of Actions of Discrete Kac Algebras on Injective Factors

Classification of Actions of Discrete Kac Algebras on Injective Factors - Memoirs of the American Mathematical Society

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Publisher's 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.

Book information

ISBN: 9781470420550
Publisher: American Mathematical Society
Imprint: American Mathematical Society
Pub date:
DEWEY: 512.482
DEWEY edition: 23
Language: English
Number of pages: ix, 118
Weight: 206g
Height: 254mm
Width: 178mm