# 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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