Strength of convergence in the orbit space of a groupoid

Let G be a second-countable locally-compact Hausdorff groupoid with a Haar system, and let { x n } be a sequence in the unit space G ( 0 ) of G. We show that the notions of strength of convergence of { x n } in the orbit space G ( 0 ) / G and measure-theoretic accumulation along the orbits are equivalent ways of realising multiplicity numbers associated to a sequence of induced representation of the groupoid C ⁎ -algebra.