We generalise the known excision results for Hochschild, cyclic and periodic cyclic homology to algebras in symmetric monoidal categories. Our abstract result also contains excision for extensions of nuclear H\nb-unital Fr\'echet algebras. As an application, we compute the Hochschild and cyclic homology of the algebra of Whitney functions on an arbitrary closed subset of a smooth manifold, and the periodic cyclic homology for the algebras of smooth functions on a closed subset of a smooth manifold.
Journal of Homotopy and Related Structures, Vol. 5(2010), No. 1, pp. 269-303