On the homology of algebras of Whitney functions over subanalytic sets

@inproceedings{Brasselet2002OnTH,
  title={On the homology of algebras of Whitney functions over subanalytic sets},
  author={Jean-Paul Brasselet and Markus J. Pflaum},
  year={2002}
}
In this article we study several homology theories of the algebra E∞(X) of Whitney functions over a subanalytic set X ⊂ R with a view towards noncommutative geometry. Using a localization method going back to Teleman we prove a Hochschild–Kostant–Rosenberg type theorem for E∞(X), when X is a regular subset of R having regularly situated diagonals. This includes the case of subanalytic X. We also compute the Hochschild cohomology of E∞(X) for a regular set with regularly situated diagonals and… CONTINUE READING

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