Localisation and colocalisation of KK-theory

@article{Inassaridze2011LocalisationAC,
title={Localisation and colocalisation of KK-theory},
author={Hvedri Inassaridze and Tamaz Kandelaki and Ralf Meyer},
journal={Abhandlungen aus dem Mathematischen Seminar der Universit{\"a}t Hamburg},
year={2011},
volume={81},
pages={19-34}
}
• Published 1 March 2010
• Mathematics
• Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
The localisation of an R-linear triangulated category $\mathcal{T}$ at S−1R 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−1R/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…
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To Professor Hvedri Inassaridze’s 80th birthday
algebra, made a good contribution to it, and created his own internationally recognized school, as already mentioned. He also was elected, as a Corresponding

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