11 citations · 11 across the 8 of their papers we have counts for
13 papers
Single generation of transformation group algebras
George A. Elliott, Chun Guang Li, Zhuang Niu
We prove that is singly generated whenever is a finitely generated discrete amenable group and its action on the nonempty compact metrizable space is free, m…
On the generators of separable unital C*-algebras
George A. Elliott, Chun Guang Li, Zhuang Niu
Let be a separable unital -algebra with nonempty tracial state space and strict comparison by ordinary tracial states. If embeds unitally into , th…
Mean dimension and radius of comparison
George A. Elliott, Zhuang Niu
Consider a minimal and free topological dynamical system , where is a discrete amenable group. Assume has the uniform Rokhlin property (URP) and the Cuntz comp…
On generators of
George A. Elliott, Chun Guang Li, Zhuang Niu
It is shown that the reduced group C*-algebra is singly generated, where is the free group on two generators. With respect to the gener…
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…
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.
On the small boundary property, -absorption, and Bauer simplexes
George A. Elliott, Zhuang Niu
Let be a compact metrizable space, and let be a closed set of Borel probability measures on . We study the small boundary property of the pair . In particular, i…
On the classification of simple amenable -algebras with finite decomposition rank, II
George A. Elliott, Guihua Gong, Huaxin Lin +1
We prove that every unital stably finite simple amenable -algebra with finite nuclear dimension and with UCT such that every trace is quasi-diagonal has the property that…