activity
20032022
most citedThe C*-algebra of a minimal homeomorphism of zero mean dimension

39 citations · 104 across the 31 of their papers we have counts for

collaborators

33 papers

math.OA2022

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.

math.OA2022★ 1 cited

Rationally AF algebras and KMS states of Z-absorbing C*-algebras

George A. Elliott, Yasuhiko Sato

In order to realize all possible KMS-bundles on the Jiang-Su algebra, we introduce a class of C*-algebras which we call rationally approximately finite dimensional (RAF). Using the…

math.OA2022

Coloured Isomorphism of Classifiable C*-algebras

Jeffrey Im, George A. Elliott

It is shown that the coloured isomorphism class of a unital, simple, -stable, separable amenable C-algebra satisfying the Universal Coefficient Theorem (UCT) is de…

math.OA2022

Generalized Tracially Approximated C*-algebras

George A. Elliott, Qingzhai Fan, Xiaochun Fang

In this paper, we introduce some classes of generalized tracial approximation -algebras. Consider the class of unital -algebras which are tracially $\mathcal{…

math.OA2021★ 3 cited

On the bundle of KMS state spaces for flows on a Z-absorbing C*-algebra

George A. Elliott, Yasuhiko Sato, Klaus Thomsen

We obtain three results: 1) Every compact simplex bundle with exactly one point in the fiber over 0 is the KMS bundle of a periodic flow on the Jiang-Su algebra. 2) Let A be a sepa…

math.OA2021★ 1 cited

The bundle of KMS state spaces for flows on a unital C*-algebra

George A. Elliott, Klaus Thomsen

It is shown that any bundle of KMS state spaces which can occur for a flow on a unital separable C*-algebra with a trace state can also be realized by a flow on any given unital in…