Localizing subcategories in the Bootstrap ...
Type de document :
Article dans une revue scientifique: Article original
URL permanente :
Titre :
Localizing subcategories in the Bootstrap category of separable C*-algebras
Auteur(s) :
Titre de la revue :
Journal of K-theory
Pagination :
493-505
Éditeur :
Cambridge Univ. Press
Date de publication :
2010-09-15
ISSN :
1865-2433
Discipline(s) HAL :
Mathématiques [math]
Résumé en anglais : [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, ...
Lire la suite >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.Lire moins >
Lire la suite >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.Lire moins >
Langue :
Anglais
Comité de lecture :
Oui
Audience :
Internationale
Vulgarisation :
Non
Collections :
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Date de dépôt :
2025-01-24T14:11:51Z
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