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- Reiji Tomatsu
- 2007

Let $${\mathbb{G}}$$ be a co-amenable compact quantum group. We show that a right coideal of $${\mathbb{G}}$$ is of quotient type if and only if it is the range of a conditional expectation… (More)

- Reiji Tomatsu
- 2008

We develop theory of multiplicity maps for compact quantum groups, as an application, we obtain a complete classification of right coideal C *-algebras of C(SU q (2)) for q ∈ [−1, 1] \ {0}. They are… (More)

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 preceding results such as… (More)

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… (More)

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 Connes-Takesaki… (More)

We show the uniqueness of minimal actions of a compact Kac algebra with amenable dual on the AFD factor of type II1. This particularly implies the uniqueness of minimal actions of a compact group.… (More)

- Reiji Tomatsu
- 2006

Z.-J. Ruan has shown that several amenability conditions are all equivalent in the case of discrete Kac algebras. In this paper we extend this work to the case of discrete quantum groups with a quite… (More)

- Reiji Tomatsu
- 2009

We establish a Galois correspondence for a minimal action of a compact quantum group G on a von Neumann factor M. This extends the result of Izumi, Longo and Popa who treated the case of a Kac… (More)

We show the uniqueness of minimal actions of a compact Kac algebra with the amenable dual on the AFD factor of type II1. This particularly implies the uniqueness of minimal actions of a compact… (More)