If my opponent makes use of the equip capacity of a Lightening Greaves they management, and I goal that capacity with Reroute, whose creatures are authorized targets for the equip capacity?

The Equip key phrase explicitly says “Attach this everlasting to focus on [quality] creature you management.”, so my query is mainly, does “you” in that capacity on this occasion imply the controller of Lightning Greaves, the Controller of the Equip capacity as its on the stack (which remains to be my opponent) or does it imply the chooser of the goal (me)? My hunch is that “you” refers back to the controller of the equip capacity on the stack, and since I’m solely modifying that capacity I’ve to decide on considered one of my opponents creatures, however that is not particularly clear to me

And sure I do know that my opponent may simply use the equip capacity once more, as they maintain management of the tools, so on this instance its form of a moot level. But there are different circumstances the place it could possibly be related, equivalent to if the tools in query was Colossus Hammer they won’t have the mana to reuse the equip capacity once more throughout the identical flip