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On von Neumann algebras which are complemented subspaces of B(H)

Erik Christensen, Allan M. Sinclair

funct-anarXiv:funct-an/9212002

Abstract

If there exists a completely bounded projection of B(H) onto a von Neumann algebra M on H, then M is injective. If there exists a bounded projection and M is properly infinite, the same conclusion holds.

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