11 citations · 11 across the 8 of their papers we have counts for
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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…