Excision in Hochschild and cyclic homology without continuous linear sections

Details Excision in Hochschild and cyclic homology without continuous linear sections Excision in Hochschild and cyclic homology without continuous linear sections

2009-12-18

arxiv.org/abs/0912.3729v1

J. Homotopy Relat. Struct. 5:1 (2010), 269-303

Mathematics

K-Theory and Homology

32 pages

Scientific paper

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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