Excision in Hochschild and cyclic homology without continuous linear sections

Abstract

We prove that continuous Hochschild and cyclic homology satisfy excision for extensions of nuclear H-unital Frechet algebras and use this to compute them for the algebra of Whitney functions on an arbitrary closed subset of a smooth manifold. Using a similar excision result for periodic cyclic homology, we also compute the periodic cyclic homology of algebras of smooth functions and Whitney functions on closed subsets of smooth manifolds.

32 pages

References in corpus (1)

• Excision in bivariant periodic cyclic cohomology: a categorical approach

Cited by in corpus (1)

• Homotopy theory in a quasi-abelian category