We show that every separable complex L₁-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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm160-2-1, author = {Wolfgang Lusky}, title = {Every separable L1-predual is complemented in a C*-algebra}, journal = {Studia Mathematica}, volume = {162}, year = {2004}, pages = {103-116}, zbl = {1054.46009}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm160-2-1} }
Wolfgang Lusky. Every separable L₁-predual is complemented in a C*-algebra. Studia Mathematica, Tome 162 (2004) pp. 103-116. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm160-2-1/