Projective geometry in characteristic one and the epicyclic category

@article{Connes2015ProjectiveGI,
  title={Projective geometry in characteristic one and the epicyclic category},
  author={Alain Connes and Caterina Consani},
  journal={Nagoya Mathematical Journal},
  year={2015},
  volume={217},
  pages={95 - 132}
}
Abstract We show that the cyclic and epicyclic categories which play a key role in the encoding of cyclic homology and the lambda operations, are obtained from projective geometry in characteristic one over the infinite semifield of max-plus integers ℤmax. Finite-dimensional vector spaces are replaced by modules defined by restriction of scalars from the one-dimensional free module, using the Frobenius endomorphisms of ℤmax. The associated projective spaces are finite and provide a… 
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