Localizing subcategories in the Bootstrap category of separable C*-algebras

@article{DellAmbrogio2011LocalizingSI,
  title={Localizing subcategories in the Bootstrap category of separable C*-algebras},
  author={Ivo Dell'Ambrogio},
  journal={Journal of K-theory},
  year={2011},
  volume={8},
  pages={493-505}
}
Using the classical universal coefficient theorem of Rosenberg-Schochet, we prove a simple classification of all localizing subcategories of the Bootstrap category Boot ⊂ KK of separable complex C*-algebras. Namely, they are in a bijective correspondence with subsets of the Zariski spectrum Specℤ of the integers – precisely as for the localizing subcategories of the derived category D(ℤ) of complexes of abelian groups. We provide corollaries of this fact and put it in context with the similar… 
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