156 citations · 468 across the 30 of their papers we have counts for
5 papers · 1 filter
Quasidiagonality of nuclear C*-algebras
Aaron Tikuisis, Stuart White, Wilhelm Winter
We prove that faithful traces on separable and nuclear C*-algebras in the UCT class are quasidiagonal. This has a number of consequences. Firstly, by results of many hands, the cla…
Corrigendum to "Regularity for stably projectionless, simple C*-algebras"
Henning Petzka, Aaron Tikuisis
An error is identified and corrected in the construction of a non-Z-stable, stably projectionless, simple, nuclear C*-algebra carried out in a paper by the second author.
Covering dimension of C*-algebras and 2-coloured classification
Joan Bosa, Nathanial P. Brown, Yasuhiko Sato +3
We introduce the concept of finitely coloured equivalence for unital *-homomorphisms between C*-algebras, for which unitary equivalence is the 1-coloured case. We use this notion t…
Decomposition rank of approximately subhomogeneous C*-algebras
George A. Elliott, Zhuang Niu, Luis Santiago +1
It is shown that every Jiang-Su stable approximately subhomogeneous C*-algebra has finite decomposition rank. Previously, it was not even known that such algebras have finite nucle…
Relative commutants of strongly self-absorbing C*-algebras
Ilijas Farah, Bradd Hart, Mikael Rørdam +1
The relative commutant of a strongly self-absorbing algebra is indistinguishable from its ultrapower . This applies both to the case w…