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math.QA2018★ 5 cited
Spin geometry of the rational noncommutative torus
Alessandro Carotenuto, Ludwik Dabrowski
The twined almost commutative structure of the standard spectral triple on the noncommutative torus with rational parameter is exhibited, by showing isomorphisms with a spectral tr…
math.QA2018★ 11 cited
Differential calculus on Jordan algebra and Jordan modules
Alessandro Carotenuto, Ludwik Dabrowski, Michel Dubois-Violette
Having in mind applications to particle physics we develop the differential calculus over Jordan algebras and the theory of connections on Jordan modules. In particular we focus on…