(non)commutative f-un geometry(non)commutative f-un geometry
Faculty of Sciences. Mathematics and Computer Science
(2009), p. 0909.2522,1-0909.2522,27
University of Antwerp
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.