Von Neumann algebras as complemented subspaces of B(H)

TY - JOUR

T1 - Von Neumann algebras as complemented subspaces of B(H)

AU - Christensen, Erik

AU - Wang, Liguang

PY - 2014/10/16

Y1 - 2014/10/16

N2 - Let M be a von Neumann algebra of type II1 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 II1 on a Hilbert space H, then M is injective if its fundamental group is nontrivial.

AB - Let M be a von Neumann algebra of type II1 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 II1 on a Hilbert space H, then M is injective if its fundamental group is nontrivial.

U2 - 10.1142/s0129167x14501079

DO - 10.1142/s0129167x14501079

M3 - Journal article

SN - 0129-167X

VL - 25

JO - International Journal of Mathematics

JF - International Journal of Mathematics

M1 - 1450107

ER -