$\kappa$-Minkowski as tangent space I: quantum partition of unity

We define a quantum (noncommutative) analogue of locally trivial tangent bundle based on three main elements: the definition of local algebras through quotients of ideals of the global algebra as introduced in [20], the triviality of the local tangent space as being the $\kappa$-Minkowski space inspirated from [2], and the gluing of local objects to global ones through the introduction of a notion of quantum (noncommutative partition) of unity.