Weakly Exact von Neumann Algebras

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dc.creatorOzawa, Narutaka
dc.date2004-11-22
dc.date.accessioned2026-07-07T05:14:34Z
dc.date.available2026-07-07T05:14:34Z
dc.descriptionThe theory of exact C*-algebras was introduced by Kirchberg and has been influential in recent development of C*-algebras. A fundamental result on exact C*-algebras is a local characterization of exactness. The notion of weakly exact von Neumann algebras was also introduced by Kirchberg. In this paper, we give a local characterization of weak exactness. As a corollary, we prove that a discrete group is exact if and only if its group von Neumann algebra is weakly exact. The proof naturally involves the operator space duality.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0411473
dc.identifierhttp://arxiv.org/abs/math/0411473
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73319
dc.subjectOperator Algebras
dc.subject46L10; 46L07
dc.titleWeakly Exact von Neumann Algebras
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