6 citations · 17 across the 7 of their papers we have counts for
7 papers
Topological Hochschild homology and the Bass trace conjecture
A. J. Berrick, Lars Hesselholt
We use the methods of topological Hochschild homology to shed new light on the groups satisfying the Bass trace conjecture. We show that the factorization of the Hattori-Stallings…
Periodicity of hermitian K-groups
A. J. Berrick, M. Karoubi, P. A. Østvær
Bott periodicity for the unitary, orthogonal and symplectic groups is fundamental to topological K-theory. Analogous to unitary topological K-theory, for algebraic K-groups with fi…
The acyclic group dichotomy
A. J. Berrick
Two extremal classes of acyclic groups are discussed. For an arbitrary group G, there is always a homomorphism from an acyclic group of cohomological dimension 2 onto the maximum p…
Homotopy idempotents on manifolds and Bass' conjectures
A J Berrick, I Chatterji, G Mislin
The Bass trace conjectures are placed in the setting of homotopy idempotent selfmaps of manifolds. For the strong conjecture, this is achieved via a formulation of Geoghegan. The w…
Hermitian K-theory and 2-regularity for totally real number fields
A. J. Berrick, M. Karoubi, P. A. Østvær
We completely determine the 2-primary torsion subgroups of the hermitian K-groups of rings of 2-integers in totally real 2-regular number fields. The result is almost periodic with…
Homological realization of prescribed abelian groups via -theory
A. J. Berrick, M. Matthey
Using algebraic and topological K-theory together with complex C^*-algebras, we prove that every abelian group may be realized as the centre of a strongly torsion generated group w…