# Are the ideles literally a picard group?

I understand that in the number field / function field analogy, the ideles $$\mathbb I_K$$ of a number field $$K$$ are supposed to be analogous to the Picard group of a function field.

Question: Is this more than an analogy? Is there an actual geometric setting in which the ideles parameterize “line bundles” over a geometric object attached to $$K$$?

My first inclination was to see if this was the case in Berkovich geometry, in the case $$K = \mathbb Q$$. It’s encouraging to note that ideles correspond to Cech 1-cocycles for reasonable coverings of the Berkovich space $$\mathcal M(\mathbb Z)$$ with values in $$\mathcal O_\mathbb Z^\times$$. But nevertheless, every such cocycle is a coboundary, so it seems to not literally be the case that the ideles parameterize line bundles on $$\mathcal M(\mathbb Z)$$.