  We construct a topology on the standard Hilbert module $l^2(\mathcal A)$ over
a unital $W^*$-algebra $\mathcal A$ such that any "compact" operator, (i.e.\
any operator in the norm closure of the linear span of the operators of the
form $x\mapsto\left<y,x\right>z$) maps bounded sets into totally bounded sets.
