Diffeomorphism invariant Colombeau algebras. Part II: Classification

This contribution presents a comprehensive analysis of Colombeau (-type) algebras in the range between the diffeomorphism invariant algebra introduced in Part I and Colombeau's original algebra. Along the way, it provides several classification results which are indispensable for obtaining an intrinsic description of a (full) Colombeau algebra on a manifold. The latter will be the focus of Part III of this series of contributions.