Cyclic-Homology Chern–Weil Theory for Families of Principal Coactions
Cyclic-Homology Chern–Weil Theory for Families of Principal Coactions
Abstract Viewing the space of cotraces in the structural coalgebra of a principal coaction as a noncommutative counterpart of the classical Cartan model, we construct the cyclic-homology Chern–Weil homomorphism. To realize the thus constructed Chern–Weil homomorphism as a Cartan model of the homomorphism tautologically induced by the classifying map on …