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}
}
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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