6 citations · 9 across the 12 of their papers we have counts for
19 papers
Non-MF groups and non-finite full group C*-algebras
Caleb Eckhardt
Let be a property (T) group admitting an injective, non-surjective endomorphism and let be the associated ascending HNN-extension. Let $W=\left(\bigoplus_{G/Γ} \mathbb{Z}/2…
Residually finite amenable groups that are not Hilbert-Schmidt stable
Caleb Eckhardt
We construct the first examples of residually finite amenable groups that are not Hilbert-Schmidt (HS) stable. We construct finitely generated, class 3 nilpotent by cyclic examples…
Nuclear dimension and virtually polycyclic groups
Caleb Eckhardt, Jianchao Wu
We show that the nuclear dimension of a (twisted) group C*-algebra of a virtually polycyclic group is finite. This prompts us to make a conjecture relating finite nuclear dimension…
C*-algebras generated by representations of virtually nilpotent groups
Caleb Eckhardt
We show that a C*-algebra generated by an irreducible representation of a finitely generated virtually nilpotent group satisfies the universal coefficient theorem and has real rank…
On amenable Hilbert-Schmidt stable groups
Caleb Eckhardt, Tatiana Shulman
We examine Hilbert-Schmidt stability (HS-stability) of discrete amenable groups from several angles. We give a short, elementary proof that finitely generated nilpotent groups are…
Moves on -graphs preserving Morita equivalence
Caleb Eckhardt, Kit Fieldhouse, Daniel Gent +3
We initiate the program of extending to higher-rank graphs (-graphs) the geometric classification of directed graph -algebras, as completed in the 2016 paper of Eilers, Res…