%0 Journal Article %T Renault's Equivalence Theorem for Reduced Groupoid C*-algebras %A Aidan Sims %A Dana P. Williams %J Mathematics %D 2010 %I arXiv %X We use the technology of linking groupoids to show that equivalent groupoids have Morita equivalent reduced C*-algebras. This equivalence is compatible in a natural way in with the Equivalence Theorem for full groupoid C*-algebras. %U http://arxiv.org/abs/1002.3093v2