3 papers
math.OA2025
Remarks on Villadsen algebras, II: A generalized construction and the comparison radius function
George A. Elliott, Zhuang Niu
The authors' recent classification of Jesper Villadsen's remarkable generalization (based on a self-reproducing seed space) of Glimm's infinite tensor product (UHF) C*-algebras, by…
math.OA2025
The relative radius of comparison of the crossed product of a non-unital C*-algebra by a finite group
M. Ali Asadi-Vasfi, George A. Elliott
In this paper, we prove results on the relative radius of comparison of C*-algebras and their crossed products, focusing on the non-unital setting. More precisely, let be a sta…
math.OA2024
On a question of Kaplansky concerning his density theorem
George A. Elliott, Charles J. K. Griffin
A new proof following a suggestion of Kaplansky to use a result of Dixmier, and in this way avoid unbounded nets of operators, is given of the Kaplansky density theorem.