LOCALIZING SUBCATEGORIES IN THE BOOTSTRAP CATEGORY OF SEPARABLE C∗-ALGEBRAS

@inproceedings{2010LOCALIZINGSI,
  title={LOCALIZING SUBCATEGORIES IN THE BOOTSTRAP CATEGORY OF SEPARABLE C∗-ALGEBRAS},
  author={},
  year={2010}
}

• Published 2010

Using the classical universal coefficient theorem of RosenbergSchochet, 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 Spec Z 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… CONTINUE READING

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