  The Symmetric Imprimitivity Theorem provides a Morita equivalence between two
crossed products of induced C*-algebras. Quigg and Spielberg proved, by
indirect but ingenious methods, that the symmetric imprimitivity theorem has an
analog for reduced crossed products. Here we identify the representations which
induce to regular representations under the equivalence of the symmetric
theorem. We use this result to show that regular representations themselves
almost always induce to regular representations. In addition, we obtain a
direct proof of the theorem of Quigg and Spielberg.
