The structure of KMS weights on \'etale groupoid $C^{\ast }$-algebras

We generalise a number of classical results from the theory of KMS states to KMS weights in the setting of $C^{\ast }$-dynamical systems arising from a continuous groupoid homomorphism $c:\mathcal{G}\to \mathbb{R}$ on a locally compact second countable Hausdorff 'etale groupoid $\mathcal{G}$. In particular, we generalise Neshveyev’s Theorem to KMS weights.