
Classification of Actions of Discrete Kac Algebras on Injective Factors
American Mathematical Society (Publisher)
Will be published approx. on 30. March 2017
Book
Paperback/Softback
118 pages
978-1-4704-2055-0 (ISBN)
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
206 gr
ISBN-13
978-1-4704-2055-0 (9781470420550)
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Schweitzer Classification
Persons
Toshihiko Masuda, Kyushu University, Fukuoka, Japan.
Reiji Tomatsu, Hokkaido University, Sapporo, Japan.
Reiji Tomatsu, Hokkaido University, Sapporo, Japan.
Content
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.
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.