Groupoid cohomology and extensions
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Abstract:
We show that Haefliger’s cohomology for étale groupoids, Moore’s cohomology for locally compact groups and the Brauer group of a locally compact groupoid are all particular cases of sheaf (or Čech) cohomology for topological simplicial spaces.References
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Additional Information
- Jean-Louis Tu
- Affiliation: Institut de Mathématiques, Université Pierre et Marie Curie, 175 rue du Chevaleret, 75013 Paris, France
- Address at time of publication: Université Paul Verlaine-Metz, LMAM-CNRS UMR 7122, Ile de Saulcy, 57000 Metz, France
- Email: tu@univ-metz.fr
- Received by editor(s): June 28, 2004
- Published electronically: May 9, 2006
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 358 (2006), 4721-4747
- MSC (2000): Primary 22A22, 20J06; Secondary 55Nxx
- DOI: https://doi.org/10.1090/S0002-9947-06-03982-1
- MathSciNet review: 2231869