Noncommutative localization in algebraic $L$-theory

Details Noncommutative localization in algebraic $L$-theory Noncommutative localization in algebraic $L$-theory

2008-10-15

arxiv.org/abs/0810.2761v1

Mathematics

Algebraic Topology

to appear in Advances in Mathematics

Scientific paper

Given a noncommutative (Cohn) localization $A \to \sigma^{-1}A$ which is
injective and stably flat we obtain a lifting theorem for induced f.g.
projective $\sigma^{-1}A$-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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