Homological algebra with locally compact abelian groups

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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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Group Theory, Category Theory, Number Theory, 22B05 (Primary) 18G10 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/133312

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0510345
 http://arxiv.org/abs/math/0510345
 Advances in Mathematics 212 (2007), 504-524
 doi:10.1016/j.aim.2006.09.019

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arXiv