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The localisation of an R-linear triangulated category $\mathcal{T}$ at S −1 R for a multiplicatively closed subset S is again triangulated, and related to the original category by a long exact sequence involving a version of $\mathcal{T}$ with coefficients in S −1 R/R. We examine these theories and, under some assumptions, write the latter as an inductive limit of $\mathcal{T}$ with torsion coefficients. Our main application is the case where $\mathcal{T}$ is equivariant bivariant K-theory and R the ring of integers.
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg – Springer Journals
Published: Mar 17, 2011
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