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Lieven LeBruyn. (non)commutative f-un geometry. arXiv/math.RA, 0909.2522, 2009.
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.
@article{LeBruyn2009a,
author={LeBruyn, Lieven},
title={(non)commutative f-un geometry},
year={2009},
abstract={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.},
bib2html_pubtype ={Papers},
bib2html_rescat ={Noncommutative Geometry},
journal={arXiv/math.RA},
volume={0909.2522},
language={English},
bib2html_dl_html={http://arxiv.org/abs/0909.2522}
}
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