Truncated abelian lattice-ordered groups I: The pointed (Yosida) representation

We conclude by considering the important question of which divisible archimedean ℓ-groups support a truncation. We point out an example in the literature of one which does not, and we note a couple of fairly extensive classes of divisible archimedean ℓ-groups which do support a truncation. Finally, we observe that any trunc has what is known as a Johnson representation.