2017/08/10 by Partha Sarathi Chakraborty, Satyajit Guin, Chakraborty, Partha Sarathi +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Advanced Operator Algebra Research
paper · pdf · doi:10.48550/arxiv.1708.03092
Starting with a spectral triple one can associate two canonical differential\ngraded algebras (dga) defined by Connes and Fr "ohlich et al. For the classical\nspectral triples associated with compact Riemannian spin manifolds both these\ndgas coincide with the de-Rham dga. Therefore, both are candidates for the\nnoncommutative space of differential forms. Here we compare these two dgas and\nobserve that in a very precise sense Connes' dga is more informative than that\nof Fr "ohlich et al.\n