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-unital Fréchet 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 p...

In this paper, we study the concept of weakly almost periodic functions on Fréchet algebras. For a algebra [Formula: see text], show that text]. We also text] is Arens regular if and only both are regular. Finally, for sequence algebras prove regualr each

Let R be a commutative radical Fréchet algebra having a nonnilpotent element a with a ∈ Ra. Then R contains a continuum of incomparable prime ideals. In [3], J. Esterle proved the following result; it is a main ingredient in his proof that epimorphisms from C0(Ω) onto Banach algebras are continuous. Theorem (Esterle). Let R be a commutative radical Banach algebra. Suppose that there exists a no...