Noncommutative localization in algebraic L-theory

• Autores: Andrew Ranicki
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 220, Nº 3, 2009, págs. 894-912
• Idioma: inglés
• DOI: 10.1016/j.aim.2008.10.003
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• Resumen

  • Given a noncommutative (Cohn) localization A?s-1A which is injective and stably flat we obtain a lifting theorem for induced f.g. projective s-1A-module chain complexes and localization exact sequences in algebraic L-theory, matching the algebraic K-theory localization exact sequence of Neeman-Ranicki [Amnon Neeman, Andrew Ranicki, Noncommutative localisation in algebraic K-theory I, Geom. Topol. 8 (2004) 1385-1425] and Neeman [Amnon Neeman, Noncommutative localisation in algebraic K-theory II, Adv. Math. 213 (2007) 785-819].