Classification of actions of discrete Kac algebras on injective factors

Autor:	Masuda, Toshihiko, Tomatsu, Reiji
Rok vydání:	2013
Předmět:	Mathematics - Operator Algebras 46L65 46L55
Druh dokumentu:	Working Paper
Popis:	We will study two kinds of actions of a discrete amenable Kac algebra. The first one is an action whose modular part is normal. We will 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, we will show that the Connes-Takesaki module is a complete invariant. Comment: 120 pages. Minor corrections
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1306.5046 Zobrazit plný text záznamu View this record from Arxiv