39 citations · 104 across the 31 of their papers we have counts for
33 papers · 1 filter
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.
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…
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…
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{…
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…
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…