Classification of actions of discrete Kac algebras on injective factors
著者
書誌事項
Classification of actions of discrete Kac algebras on injective factors
（Memoirs of the American Mathematical Society, 1160）
American Mathematical Society, c2016
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注記
"Volume 245, number 1160 (fifth of 6 numbers), January 2017"
Includes bibliographical references (p. 113-116) and index
内容説明・目次
内容説明
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.
目次
Introduction
Preliminary
Canonical extension of irreducible endomorphisms
Kac algebras
Classification of modular kernels
Classification of actions with non-trivial modular parts
Classification of centrally free actions
Related problems
Appendix
Bibliography
Index.
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