This is an announcement for the paper "The dual of a non-reflexive L-embedded Banach space contains $\ell^\infty$ isometrically." by Hermann Pfitzner. Abstract: See title. (A Banach space is said to be L-embedded if it is complemented in its bidual such that the norm between the two complementary subspaces is additive.) Archive classification: math.FA Remarks: accepted by Bull. Pol. Acad. Sci. Submitted from: Hermann.Pfitzner@univ-orleans.fr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1004.0203 or http://arXiv.org/abs/1004.0203