  In 2008, J. Parcet showed the $(1,1)$ weak-boundedness of Calder\'on-Zygmund
operators acting on functions taking values in a von Neumann algebra. We
propose a simplified version of his proof using the same tools : Cuculescu's
projections and a pseudo-localisation theorem. This will unable us to recover
the $L_p$-boundedness of Calder\'on-Zygmund operators with Hilbert valued
kernels acting on operator valued functions for $1 < p < \infty$ and an
$L_p$-pseudo-localisation result of P. Hyt\"onen.
