It is well known that Furstenberg put a topology on $\mathbb Z$ which he uses to show the infinitude of primes. It may also be well known (see Could Furstenberg's Argument Prove the Infinitude of Primes in Number Fields?) that this topology is actually the Adele topology on $\hat{\mathbb Z}$ restricted to $\mathbb Z$. My question is then a slightly historical one:
Was Furstenberg in any way inspired by the theory of Adeles when discovering his proof?
Note: No intent to discount Furstenberg's originality in his proof.
Addendum: The corresponding Wikipedia article contains this paper on the Furstenberg topology which is written at a fairly elementary level. There is some construction resembling $\hat{\mathbb Z}$ but the Adeles are not mentioned explicitly.
