45 citations · 127 across the 19 of their papers we have counts for
19 papers
Centrally free actions of amenable C-tensor categories on von Neumann algebras
Reiji Tomatsu
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 ful…
Ultraproducts of crossed product von Neumann algebras
Reiji Tomatsu
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 con…
Haagerup approximation property via bimodules
Rui Okayasu, Narutaka Ozawa, Reiji Tomatsu
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…
A characterization of fullness of continuous cores of type III free product factors
Reiji Tomatsu, Yoshimichi Ueda
We prove that, for any type III free product factor, its continuous core is full if and only if its -invariant is the usual topology on the real line. This trivially implies…
Generalisations of the Haagerup approximation property to arbitrary von Neumann algebras
Martijn Caspers, Rui Okayasu, Adam Skalski +1
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 Neu…
Haagerup approximation property and positive cones associated with a von Neumann algebra
Rui Okayasu, Reiji Tomatsu
We introduce the notion of the -Haagerup approximation property for using a one-parameter family of positive cones studied by Araki and show that the -Haagerup…