FROM ACYCLIC GROUPS TO THE BASS CONJECTURE FOR AMENABLE GROUPS

Jon Berrick (1) , Indira Chatterji (2) , Guido Mislin (3)

1 NUS - National University of Singapore
2 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans
3 ETH Zürich - Eidgenössische Technische Hochschule - Swiss Federal Institute of Technology [Zürich]

We prove that the Bost Conjecture on the $\ell^1$-assembly map for countable discrete groups implies the Bass Conjecture. It follows that all amenable groups satisfy the Bass Conjecture.

Domaines: K-théorie et homologie [math.KT]

Jon Berrick, Indira Chatterji, Guido Mislin. FROM ACYCLIC GROUPS TO THE BASS CONJECTURE FOR AMENABLE GROUPS. Mathematische Annalen, 2004, 329 (4), pp.597. ⟨hal-00472044⟩