A smooth variant of Hopkins-Singer differential \(K\)-theory (Q2359548)

In differential \(K\)-theory, there are many models which are isomorphic to each other by the uniqueness of the axioms. In this paper, the author proves that if the continuous conditions in the Hopkins-Singer model are modified by the smooth condition, the two differential \(K\)-theories are isomorphic. Furthermore, he constructs an isomorphism explicitly from the Tradler-Wilson-Zeinalian model to his smooth version of the Hopkins-Singer model.