Comparison between two differential graded algebras in noncommutative geometry
Proceedings of the Indian Academy of Sciences: Mathematical Sciences
Starting with a spectral triple, one can associate two canonical differential graded algebras (DGA) defined by Connes (Noncommutative geometry (1994) Academic Press Inc., San Diego) and Fröhlich et al. (Comm. Math. Phys.203(1) (1999) 119–184). For the classical spectral triples associated with compact Riemannian spin manifolds, both these DGAs coincide with the de-Rham DGA. Therefore, both are candidates for the noncommutative space of differential forms. Here we compare these two DGAs in a very precise sense.
Chakraborty, Partha Sarathi and Guin, Satyajit, "Comparison between two differential graded algebras in noncommutative geometry" (2019). Journal Articles. 894.
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