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We study the magnetic ordering transition for a system of harmonicallytrapped ultracold fermions with repulsive interactions in a cubic opticallattice, within a real-space extension of dynamical mean-field theory (DMFT).Using a quantum Monte Carlo impurity solver, we establish thatantiferromagnetic correlations are signaled, at strong coupling, by an enhanceddouble occupancy. This signature is directly accessible experimentally andshould be observable well above the critical temperature for long-range order.Dimensional aspects appear less relevant than naively expected.

N\'{e}el transition of lattice fermions in a harmonic trap: a real-space DMFT study