Characterizing traces on crossed products of noncommutative C*-algebras

We give complete descriptions of the tracial states on both universal and reduced crossed products a C*-dynamical system consisting unital C*-algebra discrete group. In particular, we also answer question when are in canonical bijection with invariant original C*-algebra. This generalizes unique trace property for groups. The analysis simplifies greatly various cases, example conjugacy classes group all finite, other cases gives previously known results, is commutative. obtain results examples case abelian groups that contradict existing literature B\'{e}dos Thomsen. Specifically, finite-dimensional counterexample, provide correction to result