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By deploying dense subalgebras of ℓ 1 (G) we generalize the Bass conjecture in terms of Connes' cyclic homology theory. In particular, we propose a stronger version of the ℓ 1-Bass Conjecture. We prove that hyperbolic groups relative to finitely many subgroups, each of which posses the polynomial conjugacy-bound property and nilpotent periodicity property,… (More)

The property that the polynomial cohomology with coefficients of a finitely generated discrete group is canonically isomor-phic to the group cohomology is called the (weak) isocohomological property for the group. In the case when a group is of type HF ∞ , i.e. that has a classifying space with the homotopy type of a cellular complex with finitely many… (More)

By deploying dense subalgebras of ℓ 1 (G) we generalize the Bass conjecture in terms of Connes' cyclic homology theory. In particular, we propose a stronger version of the ℓ 1-Bass Conjecture. We prove that hyperbolic groups relative to finitely many subgroups, each of which posses the polynomial conjugacy-bound property and nilpotent periodicity property,… (More)

By deploying dense subalgebras of ℓ 1 (G) we generalize the Bass conjecture in terms of Connes' cyclic homology theory. In particular, we propose a stronger version of the ℓ 1-Bass Conjecture. We prove that hyperbolic groups relative to finitely many subgroups, each of which posses the polynomial conjugacy-bound property and nilpotent periodicity property,… (More)

- Ronghui Ji, Crichton Ogle, Bobby Ramsey
- IJAC
- 2013

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