Classification of Actions of Discrete Kac Algebras on Injective Factors

Toshihiko Masuda, Reiji Tomatsu (Autoren)

Buch | Softcover

118 Seiten

2017
American Mathematical Society (Verlag)
978-1-4704-2055-0 (ISBN)

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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.

Toshihiko Masuda, Kyushu University, Fukuoka, Japan. Reiji Tomatsu, Hokkaido University, Sapporo, Japan.

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.

Erscheinungsdatum	31.01.2017
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Gewicht	206 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	1-4704-2055-4 / 1470420554
ISBN-13	978-1-4704-2055-0 / 9781470420550
Zustand	Neuware