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arXiv · 0912.3729

Excision in Hochschild and cyclic homology without continuous linear sections

Ralf Meyer
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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.

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Ralf Meyer. 2009-12-18. Excision in Hochschild and cyclic homology without continuous linear sections. https://arxiv.org/abs/0912.3729

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