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math.OA2008★ 38 cited
On the spectral characterization of manifolds
Alain Connes
We show that the first five of the axioms we had formulated on spectral triples suffice (in a slightly stronger form) to characterize the spectral triples associated to smooth comp…
math.AG2008
Fun with $\F_1$
Alain Connes, Caterina Consani, Matilde Marcolli
We show that the algebra and the endomotive of the quantum statistical mechanical system of Bost--Connes naturally arises by extension of scalars from the "field with one element"…