Crossed Products of pro-C*-Algebras and Morita Equivalence

Abstract

We introduce the notion of strong Morita equivalence for group actions on pro-C* -algebras and prove that the crossed products associated with two strongly Morita equivalent continuous inverse limit actions of a locally compact group G on the pro-C* -algebras A and B are strongly Morita equivalent. This generalizes a result of F. Combes [2] and R.E. Curto, P.S. Muhly, D.P. Williams [3].