Rector 74 proved the analog of the Atiyah-Segal completion theorem with topological K-theory replaced by the algebraic K-theory of a prime field .
This theorem further amplifies the analogy to the Segal-Carlsson completion theorem for stable cohomotopy and the interpretation of the latter as the algebraic K-theory over the “field with one element” (Guillot 06):
The result is due to
Its interpretation as amplifying the identification of stable cohomotopy with the algebraic K-theory of the “field with one element” is highlighted in
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