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Groupoid cohomology and extensions

Author(s): Jean-Louis Tu
Journal: Trans. Amer. Math. Soc. 358 (2006), 4721-4747.
MSC (2000): Primary 22A22, 20J06; Secondary 55Nxx
Posted: May 9, 2006
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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 Cech) cohomology for topological simplicial spaces.

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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

DOI: 10.1090/S0002-9947-06-03982-1
PII: S 0002-9947(06)03982-1
Keywords: Groupoid, sheaf cohomology, Haefliger's cohomology, Brauer group of a groupoid
Received by editor(s): June 28, 2004
Posted: May 9, 2006
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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