Homological algebra with locally compact abelian groups

• Autores: Norbert Hoffmann, Markus Spitzweck
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 212, Nº 2, 2007, págs. 504-524
• Idioma: inglés
• DOI: 10.1016/j.aim.2006.09.019
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• Resumen

  • In this article we study locally compact abelian groups using the language of derived categories. We define a derived Hom-functor on the bounded derived category of LCA groups with values in the derived category of Hausdorff topological abelian groups. We introduce a smallness condition for LCA groups and show that the category of such groups has a natural tensor product and internal Hom. Derived versions of these yield closed tensor triangulated categories which may be of arithmetical interest.