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

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

2010-02-28

arxiv.org/abs/1003.0183v2

Journal of K-Theory 8 (2011), 493-50

Mathematics

K-Theory and Homology

9 pages, simplified proof. Final version, to appear on J. of K-theory

Scientific paper

10.1017/is010008010jkt126

Using the classical universal coefficient theorem of Rosenberg-Schochet, 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.

Affiliated with

Also associated with

No associations

Rating

Localizing subcategories in the Bootstrap category of separable C*-algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Localizing subcategories in the Bootstrap category of separable C*-algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Localizing subcategories in the Bootstrap category of separable C*-algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-111131