7 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…
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}_…
Remarks on Villadsen algebras
George A. Elliott, Chun Guang Li, Zhuang Niu
It is shown that certain unital simple C*-algebras constructed by Villadsen are classified by the K0-group together with radius of comparison.
Stable rank of
Chun Guang Li, Zhuang Niu
It is shown that, for an arbitrary free and minimal -action on a compact Hausdorff space , the crossed product C*-algebra always h…