Classification of Actions of Discrete Kac Algebras on Injective Factors

Released on by Toshihiko Masuda
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  • Classification of Actions of Discrete Kac Algebras on Injective Factors Book Detail

  • Author : Toshihiko Masuda
  • Release Date : 2017-01-18
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 134
  • ISBN 13 : 1470420554
  • File Size : 2,2 MB
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Classification of Actions of Discrete Kac Algebras on Injective Factors by Toshihiko Masuda PDF Summary

Book 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.

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