On von Neumann algebras which are complemented subspaces of B(H)
funct-an
2008-02-03 v1 Operator Algebras
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.
Keywords
Cite
@article{arxiv.funct-an/9212002,
title = {On von Neumann algebras which are complemented subspaces of B(H)},
author = {Erik Christensen and Allan M. Sinclair},
journal= {arXiv preprint arXiv:funct-an/9212002},
year = {2008}
}
Comments
10 pages, old amstex. Preprint Series Math. Inst. Univ. Copenhagen. 1992 no. 29