Every separable $L_1$-predual is complemented in a $C^*$-algebra
Volume 160 / 2004
Studia Mathematica 160 (2004), 103-116
MSC: 46B20, 46L05, 46B04, 46G20.
DOI: 10.4064/sm160-2-1
Abstract
We show that every separable complex $L_1$-predual space $X$ is contractively complemented in the CAR-algebra. As an application we deduce that the open unit ball of $X$ is a bounded homogeneous symmetric domain.
