6 citations · 9 across the 12 of their papers we have counts for
17 papers · 1 filter
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…
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…
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…
C*-superrigidity of 2-step nilpotent groups
Caleb Eckhardt, Sven Raum
We show that torsion-free finitely generated nilpotent groups are characterised by their group C*-algebras and we additionally recover their nilpotency class as well as the subquot…
Finite decomposition rank for virtually nilpotent groups
Caleb Eckhardt, Elizabeth Gillaspy, Paul McKenney
We show that inductive limits of virtually nilpotent groups have strongly quasidiagonal C*-algebras, extending results of the first author on solvable virtually nilpotent groups. W…