K_1-injectivity for properly infinite C*-algebras - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Clay Math. Proc. Année : 2010

K_1-injectivity for properly infinite C*-algebras

Etienne Blanchard
  • Fonction : Auteur
  • PersonId : 950302

Résumé

One of the main tools to classify \cst-algebras is the study of its projections and its unitaries. It was proved by J. Cuntz that if A is a {purely infinite} simple C*-algebra, then the kernel of the natural map for the unitary group \U(A) to the {K-theory} group K_1(A) is reduced to the connected component \U^0(A), ie A is K_1-injective. We study in this note a finitely generated C*-algebra, the K_1-injectivity of which would imply the K_1-injectivity of all unital properly infinite C*-algebras.
Fichier principal
Vignette du fichier
Blan10.pdf (135.25 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00922851 , version 1 (31-12-2013)

Identifiants

  • HAL Id : hal-00922851 , version 1

Citer

Etienne Blanchard. K_1-injectivity for properly infinite C*-algebras. Clay Math. Proc., 2010, 11, pp.49--54. ⟨hal-00922851⟩
73 Consultations
70 Téléchargements

Partager

Gmail Facebook X LinkedIn More