On the homology of algebras of Whitney functions over subanalytic sets

  title={On the homology of algebras of Whitney functions over subanalytic sets},
  author={Jean-Paul Brasselet and Markus J. Pflaum},
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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Publications referenced by this paper.
Showing 1-10 of 43 references

Homology and cohomology of topological algebras

  • J. L. Taylor
  • Advances in Math. 9
  • 1972
Highly Influential
6 Excerpts

Sur le problème de la division

  • S. Lojasiewicz
  • Studia Math. 8
  • 1959
Highly Influential
20 Excerpts

Produits tensoriels topologiques et espace nucléaires

  • A. Grothendieck
  • Memoirs of the AMS, vol. 16, Amer. Math. Soc.
  • 1955
Highly Influential
9 Excerpts

Microlocalisation de l’homologie de Hochschild

  • N. Teleman
  • C. R. Acad. Sci. Paris Sér. I Math. 326
  • 1998
Highly Influential
4 Excerpts

Hochschild homology of function algebras associated with singularities

  • J.-P. Brasselet, A. Legrand, N. Teleman
  • Quantum Geometry and Fundamental Physical…
  • 1999
Highly Influential
3 Excerpts

On excision in periodic cyclic cohomology

  • J. Cuntz, D. Quillen
  • C. R. Acad. Sci. Paris Sér. I Math. 317
  • 1993
Highly Influential
2 Excerpts

Idéaux de Fonctions Différentiables

  • J.-C. Tougeron
  • Ergebnisse der Mathematik und ihrer Grenzgebiete…
  • 1972
Highly Influential
4 Excerpts

On continuous Hochschild homology and cohomology groups

  • M. J. Pflaum
  • Lett. Math. Phys. 44
  • 1998

Distance géodésique sur un sous-analytique

  • K. Kurdyka, P. Orro
  • Revista Mat. Univ. Complutense de Madrid 10
  • 1997

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