Traces and reduced group C∗ -algebras
Résumé
We study the universal (Hattori-Stallings) trace on the K-theory of Banach algebras containing the complex group ring. As a result, we prove that for a group satisfying the Baum-Connes conjecture, finitely generated projectives over the reduced group C*-algebra satisfy a condition reminiscent of the Bass conjecture. An immediate consequence is that in the torsion-free case, the change of ring map from the reduced group C*-algebra to the von Neumann algebra of the group induces the zero map at the level of reduced K-theory.
Domaines
K-théorie et homologie [math.KT]Origine | Fichiers produits par l'(les) auteur(s) |
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