(non)commutative f-un geometry

Mathematics – Rings and Algebras

Scientific paper

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Scientific paper

Stressing the role of dual coalgebras, we modify the definition of affine
schemes over the 'field with one element'. This clarifies the appearance of
Habiro-type rings in the commutative case, and, allows a natural noncommutative
generalization, the study of representations of discrete groups and their
profinite completions being our main motivation.

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