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20012005
most citedThere is no separable universal II_1-factor

14 citations · 20 across the 5 of their papers we have counts for

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math.OA20033 cited

About the QWEP conjecture

Narutaka Ozawa

This is a detailed survey on the QWEP conjecture and Connes' embedding problem. Most of contents are taken from Kirchberg's paper [Invent. Math. 112 (1993)].

math.OA200214 cited

There is no separable universal II_1-factor

Narutaka Ozawa

Gromov constructed uncountably many pairwise non-isomorphic discrete groups with Kazhdan's property (T). We will show that no separable II_1-factor can contain all these groups in…

math.OA2002

On ${\OL}_{\infty}$ structure of nuclear -algebras

M. Junge, N. Ozawa, Z. J. Ruan

We study the local operator space structure of nuclear -algebras. It is shown that a -algebra is nuclear if and only if it is an $\OL_{\infty, \la}$ space for some (and a…

math.OA2002

Homotopy invariance of AF-embeddability

Narutaka Ozawa

We prove that AF-embeddability is a homotopy invariant in the class of separable exact -algebras. This work was inspired by Spielberg's work on homotopy invariance of AF-embed…

math.OA2001

Homogeneity of the pure state space of a separable C*-algebra

A. Kishimoto, N. Ozawa, S. Sakai

We prove that the pure state space is homogeneous under the action of the automorphism group (or the subgroup of asymptotically inner automorphisms) for all the separable simple C*…

math.OA2001

An Application of Expanders to

Narutaka Ozawa

With the help of Kirchberg's and Selberg's theorems, we prove that the minimal tensor product of with itself does not have the WEP (weak expectation property) of Lance.