  The ad\`eles of a scheme have local components - these are topological higher
local fields. The topology plays a large role since Yekutieli showed in 1992
that there can be an abundance of inequivalent topologies on a higher local
field and no canonical way to pick one. Using the datum of a topology, one can
isolate a special class of continuous endomorphisms. Quite differently, one can
bypass topology entirely and single out special endomorphisms (global
Beilinson-Tate operators) from the geometry of the scheme. Yekutieli's
"Conjecture 0.12" proposes that these two notions agree. We prove this.

Algebraic Geometry