Groupoid cohomology and extensions

Tu, Jean-Louis

doi:10.1090/S0002-9947-06-03982-1

Groupoid cohomology and extensions
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by Jean-Louis Tu PDF

Trans. Amer. Math. Soc. 358 (2006), 4721-4747 Request permission

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.

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