Homological algebra with locally compact abelian groups
arXiv:math/0510345 · doi:10.1016/j.aim.2006.09.019
Abstract
In this article we study locally compact abelian (LCA) groups from the viewpoint of derived categories, using that their category is quasi-abelian in the sense of J.-P. Schneiders. We define a well-behaved derived Hom-complex with values in the derived category of Hausdorff topological abelian groups. Furthermore we introduce a smallness condition for LCA groups and show that such groups have a natural tensor product and internal Hom which both admit derived versions.
18 pages, AMSLaTeX
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