Some concrete realizations of Bratteli-diagrams (Q1088128)

We give a concrete realization for some examples of A. F.-algebras, such that the associated Bratteli-diagrams are those of \[ \sum^{n}_{k=1}{\mathcal K}({\mathcal K}_ 1\otimes...\otimes {\mathcal K}_ k)\otimes 1_{{\mathcal K}_{k+1}}\otimes...\otimes 1_{{\mathcal K}_ n}. \] We also give a realization for any quotient of 2 ideals of the current algebra and obtain direct sums of \(C^*\)-algebras of the given type.