Rui Okayasu

most citedHaagerup approximation property and positive cones associated with a von Neumann algebra

6 citations · 9 across the 3 of their papers we have counts for

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math.OA2014

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…

math.OA2014★ 6 cited

Haagerup approximation property and positive cones associated with a von Neumann algebra

Rui Okayasu, Reiji Tomatsu

We introduce the notion of the $α$ -Haagerup approximation property for $α \in [0, 1/2]$ using a one-parameter family of positive cones studied by Araki and show that the $α$ -Haagerup…

math.OA2012★ 3 cited

Free group $C^{*}$ -algebras associated with $ℓ_{p}$

Rui Okayasu

For every $p \geq 2$ , we give a characterization of positive definite functions on a free group with finitely many generators, which can be extended to the positive linear functiona…

Generalisations of the Haagerup approximation property to arbitrary von Neumann algebras

Haagerup approximation property and positive cones associated with a von Neumann algebra

Free group C∗-algebras associated with ℓp​

Free group $C^{*}$ -algebras associated with $ℓ_{p}$