Zobrazeno 1 - 10
of 80
pro vyhledávání: '"Tomatsu, Reiji"'
Autor:
Tomatsu, Reiji
We will show a centrally free action of an amenable rigid C$^*$-tensor category on a properly infinite von Neumann algebra has the Rohlin property. This enables us to prove the fullness of the crossed product of a full factor by minimal action of a c
Externí odkaz:
http://arxiv.org/abs/1812.04222
Autor:
Tomatsu, Reiji
We study a relationship between the ultraproduct of a crossed product von Neumann algebra and the crossed product of an ultraproduct von Neumann algebra. As an application, the continuous core of an ultraproduct von Neumann algebra is described.
Externí odkaz:
http://arxiv.org/abs/1705.00837
The Haagerup approximation property (HAP) is defined for finite von Neumann algebras in such a way that the group von Neumann algebra of a discrete group has the HAP if and only if the group itself has the Haagerup property. The HAP has been studied
Externí odkaz:
http://arxiv.org/abs/1501.06293
Autor:
Tomatsu, Reiji, Ueda, Yoshimichi
Publikováno v:
Kyoto J. Math. 56, no. 3 (2016), 599-610
We prove that, for any type III$_1$ free product factor, its continuous core is full if and only if its $\tau$-invariant is the usual topology on the real line. This trivially implies, as a particular case, the same result for free Araki--Woods facto
Externí odkaz:
http://arxiv.org/abs/1412.2418
The notion of the Haagerup approximation property, originally introduced for von Neumann algebras equipped with a faithful normal tracial state, is generalized to arbitrary von Neumann algebras. We discuss two equivalent characterisations, one in ter
Externí odkaz:
http://arxiv.org/abs/1404.2716
Autor:
Okayasu, Rui, Tomatsu, Reiji
We introduce the notion of the $\alpha$-Haagerup approximation property for $\alpha\in[0,1/2]$ using a one-parameter family of positive cones studied by Araki and show that the $\alpha$-Haagerup approximation property actually does not depend on a ch
Externí odkaz:
http://arxiv.org/abs/1403.3971
Autor:
Okayasu, Rui, Tomatsu, Reiji
We attempt presenting a notion of the Haagerup approximation property for an arbitrary von Neumann algebra by using its standard form. We also prove the expected heredity results for this property.
Comment: To appear in Publ. Res. Inst. Math. Sc
Comment: To appear in Publ. Res. Inst. Math. Sc
Externí odkaz:
http://arxiv.org/abs/1312.1033
Autor:
Masuda, Toshihiko, Tomatsu, Reiji
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 pr
Externí odkaz:
http://arxiv.org/abs/1306.5046
Autor:
Tomatsu, Reiji
We will study a faithful product type action of G_q that is the q-deformation of a connected semisimple compact Lie group G, and prove that such an action is induced from a minimal action of the maximal torus T of G_q. This enables us to classify pro
Externí odkaz:
http://arxiv.org/abs/1302.2335
Autor:
Masuda, Toshihiko, Tomatsu, Reiji
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 Kawahigashi's classification of flows on the injec
Externí odkaz:
http://arxiv.org/abs/1206.0955