K_1-injectivity for properly infinite C*-algebras
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.
Domaines
Algèbres d'opérateurs [math.OA]
Origine : Fichiers produits par l'(les) auteur(s)
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