  We reconsider the effect of indistinguishability on the reduced density
operator of the internal degrees of freedom (tracing out the spatial degrees of
freedom) for a quantum system composed of identical particles located in
different spatial regions. We explicitly show that if the spin measurements are
performed in disjoint spatial regions then there are no constraints on the
structure of the reduced state of the system. This implies that the statistics
of identical particles has no role from the point of view of separability and
entanglement when the measurements are spatially separated. We extend the
treatment to the case of n particles and show the connection with some recent
criteria for separability based on subalgebras of observables.
