17 citations · 35 across the 16 of their papers we have counts for
15 papers · 1 filter
Relative center construction for -graded C-tensor categories and Longo-Rehren inclusions
Toshihiko Masuda
Gelaki-Naidu-Nikshych and Turaev-Virelizier showed the existence of -braiding on the relative Drinfeld center of a -graded tensor category. We will explain this concept from…
Actions of discrete amenable groups into the normalizers of full groups of ergodic transformations
Toshihiko Masuda
We apply Evans-Kishimoto's intertwining argument to the classification of actions of discrete amenable groups into the normalizer of a full group of an ergodic transformation. Our…
Classification of outer actions of discrete amenable groupoids on injective factors
Toshihiko Masuda
We classify outer actions (or -kernels) of discrete amenable groupoids on injective factors. Our method based on unified approach for classification of discrete amenab…
On the relative bicentralizer flows and the relative flow of weights of inclusions of factors of type III
Toshihiko Masuda
We show the relative bicentralizer flow and the relative flow of weights are isomorphic for an inclusion of injective factors of type III with finite index, or an irreducible d…
Classification of Roberts actions of strongly amenable C^* tensor categories on the injective factor of type III_1
Toshihiko Masuda
In this paper, we generalize Izumi's result on uniqueness of realization of finite C-tensor categories in the endomorphism category of the injective factor of type II_1 for fin…
A simple sufficient condition for triviality of obstruction in the orbifold construction for subfactors
Toshihiko Masuda
We present a simple sufficient condition for triviality of obstruction in the orbifold construction. As an application, we can show the existence of subfactors with principal graph…
Classification of actions of discrete Kac algebras on injective factors
Toshihiko Masuda, Reiji Tomatsu
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…
Rohlin flows on von Neumann algebras
Toshihiko Masuda, Reiji Tomatsu
We will introduce the Rohlin property for flows on von Neumann algebras and classify them up to strong cocycle conjugacy. This result provides alternative approaches to some preced…
Unified approach to classification of actions of discrete amenable groups on injective factors
Toshihiko Masuda
We present a simple unified proof of classification of discrete amenable group actions on injective factors. Our argument does not depend on types of factors. We also show the seco…
Classification of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III
Toshihiko Masuda, Reiji Tomatsu
We classify a certain class of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III. Our main technical tools are the structural analysis of…
Approximate innerness and central triviality of endomorphisms
Toshihiko Masuda, Reiji Tomatsu
We introduce the notions of approximate innerness and central triviality for endomorphisms on separable von Neumann factors, and we characterize them for hyperfinite factors by Con…
Classification of minimal actions of a compact Kac algebra with amenable dual
Toshihiko Masuda, Reiji Tomatsu
We show the uniqueness of minimal actions of a compact Kac algebra with amenable dual on the AFD factor of type II. This particularly implies the uniqueness of minimal actions…
Classification of actions of duals of finite groups on the AFD factor of type II_1
Toshihiko MASUDA
We will show the uniqueness of outer coactions of finite groups on the AFD factor of type II along the arguments by Connes, Jones and Ocneanu. Namely, we construct the infinite…
Evans-Kishimoto type argument for actions of discrete amenable groups on McDuff factors
Toshihiko Masuda
We apply the Evans-Kishimoto type argument for centrally free actions of discrete amenable groups on McDuff factors, and classify them. Especially, we present a different proof tha…
A note on group actions on subfactors
Toshihiko Masuda
We construct approximately inner actions of discrete amenable groups on strongly amenable subfactors of type II_1 with given invariants, and obtain classification results under som…