On a von Neumann algebra which is a complemented subspace
Operator Algebras
2014-01-13 v3
Abstract
Let M be a von Neumann algebra of type II_1 which is also a complemented subspace of B(H). We establish an algebraic criterion, which ensures that M is an injective von Neumann algebra. As a corollary we show that if M is a complemented factor of type II_1 on a Hilbert space H, then M is injective if its fundamental group is non-trivial.
Cite
@article{arxiv.1312.0450,
title = {On a von Neumann algebra which is a complemented subspace},
author = {Erik Christensen and Liguang Wang},
journal= {arXiv preprint arXiv:1312.0450},
year = {2014}
}
Comments
8 pages