Regularizations of Twisted Covariant Systems and Crossed Products with Continuous Trace

We define a regularization of a twisted covariant system (G, A, τ) as a G-equivariant Continuous map from Prim(A) into a locally compact G-space Ω with certain additional properties. We show that regularizations can be a useful tool for determining the structure of twisted crossed products, and we use the developed techniques to investigate whether certain twisted crossed products have continuous trace.