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Noncommutative differential calculus on a quadratic algebra. (English) Zbl 1355.46059

The authors consider the quadratic algebra \(\mathcal{A}=k[X^2,XY,Y^2]\) and construct two canonical algebraic spectral triples associated to \(\mathcal{A}\). It is proved that the duals of such triples are also given by quadratic algebras.

MSC:

46L85 Noncommutative topology
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