Localizing subcategories in the Bootstrap category of separable C*algebras
Abstract
Using the classical universal coefficient theorem of RosenbergSchochet, we prove a simple classification of all localizing subcategories of the Bootstrap category of separable complex C*algebras. Namely, they are in bijective correspondence with subsets of the Zariski spectrum of the integers  precisely as for the localizing subcategories of the derived category of complexes of abelian groups. We provide corollaries of this fact and put it in context with similar classifications available in the literature.
 Publication:

arXiv eprints
 Pub Date:
 February 2010
 arXiv:
 arXiv:1003.0183
 Bibcode:
 2010arXiv1003.0183D
 Keywords:

 Mathematics  KTheory and Homology;
 Mathematics  Operator Algebras;
 19K35;
 46L80;
 18E30;
 55U20
 EPrint:
 9 pages, simplified proof. Final version, to appear on J. of Ktheory