Abstract
In this paper we study Grothendieck's equivariant sheaf cohomology H(X,G;G) for non-discrete topological groups G and G-sheavesG on a G-Space X. For compact groups and locally compact, totally disconnected groups we obtain detailed results relating H(X,G;-) to H(X;-)G and H(X/G;-). Furthermore we point out the connection between H(X,G;-) and Borel's equivariant cohomology HG(X;-).
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Stieglitz, A. Equivariant sheaf cohomdlogy. Manuscripta Math 26, 201–221 (1978). https://doi.org/10.1007/BF01167974
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DOI: https://doi.org/10.1007/BF01167974