Groupoid cohomology and extensions

2004/04/14 by Jean-Louis Tu, Tu, Jean-Louis
Mathematics · #20J06 #22A22 #55Nxx #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Operator Algebras (math.OA) #math.OA #msc:20J06 #msc:22A22 #msc:55Nxx

paper · pdf · doi:10.48550/arxiv.math/0404257

32 pages

arxiv created 2004/04/14 · openalex publication_date 2004/04/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that Haefliger's cohomology for etale 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.

Related

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