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arXiv · 0810.2761

Noncommutative localization in algebraic $L$-theory

Andrew Ranicki
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Abstract

Given a noncommutative (Cohn) localization $A \to σ^{-1}A$ which is injective and stably flat we obtain a lifting theorem for induced f.g. projective $σ^{-1}A$-module chain complexes and localization exact sequences in algebraic $L$-theory, matching the algebraic $K$-theory localization exact sequence of Neeman and Ranicki.

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Andrew Ranicki. 2008-10-15. Noncommutative localization in algebraic $L$-theory. https://arxiv.org/abs/0810.2761

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