Noncommutative localization in algebraic L-theory |
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| Authors: | Andrew Ranicki |
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| Institution: | School of Mathematics, University of Edinburgh, James Clerk Maxwell Building, King's Buildings, Mayfield Road, Edinburgh EH9 3JZ, Scotland, UK |
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| Abstract: | Given a noncommutative (Cohn) localization A→σ−1A which is injective and stably flat we obtain a lifting theorem for induced f.g. projective σ−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]. |
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| Keywords: | Noncommutative localization Chain complexes L-theory |
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