Localizing subcategories in the Bootstrap ...
Document type :
Article dans une revue scientifique: Article original
Permalink :
Title :
Localizing subcategories in the Bootstrap category of separable C*-algebras
Author(s) :
Journal title :
Journal of K-theory
Pages :
493-505
Publisher :
Cambridge Univ. Press
Publication date :
2010-09-15
ISSN :
1865-2433
HAL domain(s) :
Mathématiques [math]
English abstract : [en]
Abstract 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, ...
Show more >Abstract 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 classifications available in the literature.Show less >
Show more >Abstract 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 classifications available in the literature.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
Collections :
Source :
Submission date :
2025-01-24T14:11:51Z
Files
- 1003.0183
- Open access
- Access the document