If that hardware isn’t on your own personal private premises, then you can’t really be said to own it.
Even if you really did buy the hardware from somewhere else and shipped it to the co-location facility to have it put into what is supposed to be a private cage, you still don’t own the premises, and the co-location facility can choose to let in anyone they want.
Even if you really did buy the hardware from somewhere else and shipped it to the co-location facility to have it put into what is supposed to be a private cage, you still don’t own the premises, and the co-location facility can choose to let in anyone they want.