activity
20012005
most citedThere is no separable universal II_1-factor

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

collaborators

8 papers

math.GR20053 cited

Boundary Amenability of Relatively Hyperbolic Groups

Narutaka Ozawa

Let K be a fine hyperbolic graph and G be a group acting on K with finite quotient. We prove that G is exact provided that all vertex stabilizers are exact. In particular, a relati…

math.FA2004

A note on non-amenability of B(\ell_p) for p=1,2

Narutaka Ozawa

This is an expository note on non-amenabilty of the Banach algebra B(\ell_p) for p=1,2. These were proved respectively by Connes (p=2) and Read (p=1) via very different methods. We…

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…