Localizing subcategories in the Bootstrap category of separable C*-algebras, by Ivo Dell'Ambrogio

Using the classical Rosenberg-Schochet universal coefficient theorem for the topological K-theory of C*-algebras, we provide a simple classification of all localizing subcategories in the Bootstrap category: they are in bijection with the subsets of the Zariski spectrum of the integers -- precisely as in Neeman's classification for the derived category of a commutative noetherian ring, in the case of the integers.


Ivo Dell'Ambrogio <ivo@dellambrogio.ch>