8 papers · 1 filter
A simple separable C*-algebra which is not singly generated
George A. Elliott, Chun Guang Li, Zhuang Niu
It is shown that there is a simple unital separable AH algebra which is not singly generated.
Strict comparison holds in the uniform Roe algebra of a discrete amenable group
George A. Elliott, Chun Guang Li, Zhuang Niu +1
Let be a countable discrete amenable group, and let . It is shown that if are positive elements such that $$\mathrm{d}_…
The trace simplex of a noncommutative Villadsen algebra
George A. Elliott, Vincent M. Ruzicka
We construct a ``noncommutative'' Villadsen algebra and show that, given an extreme tracial state on its canonical AF subalgebra, the subset of consisting of those t…
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…
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…
On the small boundary property and -absorption
George A. Elliott, Zhuang Niu
We introduce Property (C) for a unital commutative sub-C*-algebra of a unital C*-algebra , which is a version of the relative comparison property using almost normalizers. I…