Noncommutative localization in algebraic L -theory
Copyright policy )Noncommutative localization in algebraic L -theory
Given a noncommutative (Cohn) localization $A \to ��^{-1}A$ which is injective and stably flat we obtain a lifting theorem for induced f.g. projective $��^{-1}A$-module chain complexes and localization exact sequences in algebraic $L$-theory, matching the algebraic $K$-theory localization exact sequence of Neeman and Ranicki.
to appear in Advances in Mathematics
- University of Edinburgh United Kingdom
\(L\)-theory of group rings, 57A65; 19G24, \(L\)-theory, Mathematics(all), Localization of categories, calculus of fractions, 19G24, 57A65, Algebraic \(K\)-theory of spaces, Mathematics - Rings and Algebras, chain complexes, L-theory, /dk/atira/pure/subjectarea/asjc/2600, Rings and Algebras (math.RA), Localization and completion in homotopy theory, FOS: Mathematics, noncommutative localization, Algebraic Topology (math.AT), Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects), Noncommutative localization, Mathematics - Algebraic Topology, Chain complexes
\(L\)-theory of group rings, 57A65; 19G24, \(L\)-theory, Mathematics(all), Localization of categories, calculus of fractions, 19G24, 57A65, Algebraic \(K\)-theory of spaces, Mathematics - Rings and Algebras, chain complexes, L-theory, /dk/atira/pure/subjectarea/asjc/2600, Rings and Algebras (math.RA), Localization and completion in homotopy theory, FOS: Mathematics, noncommutative localization, Algebraic Topology (math.AT), Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects), Noncommutative localization, Mathematics - Algebraic Topology, Chain complexes
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