  Building on the work of Debord and Skandalis, van Erp and Yuncken introduced
a groupoid approach to pseudo-differential operators which has various
advantages over the classical approach using H\"ormander's symbolic calculus.
In a recent work by Couchet and Yuncken, they showed that for
pseudo-differential operators of order $-\dim(M)$ acting on a smooth manifold
$M$ the Wodzicki residue can be naturally obtained from van Erp and Yuncken's
approach. In this short note, we extend their work to pseudo-differential
operators of any order. We also give a description of the Kontsevich-Vishik
trace.
