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 …

We compute the nuclear dimension of separable, simple, unital, nuclear, Z Z-stable C^* C∗-
algebras. This makes classification accessible from Z Z-stability and in particular brings …

On the classification of simple amenable C -algebras with finite decomposition rank, II Page 1
J. Noncommut. Geom. (Online first) DOI 10.4171/JNCG/560 © 2024 European Mathematical …

Around 1990 George Elliott proposed a bold conjecture that a certain subcategory c of
separable nuclear C∗-algebras could be classified by K-theoretic invariants Ell which …

We classify the unital embeddings of a unital separable nuclear $ C^* $-algebra satisfying
the universal coefficient theorem into a unital simple separable nuclear $ C^* $-algebra that …

We introduce the concept of finitely coloured equivalence for unital $^* $-homomorphisms
between $\mathrm C^* $-algebras, for which unitary equivalence is the $1 $-coloured case …

The Cuntz semigroup of a $ C^* $-algebra is an important invariant in the structure and
classification theory of $ C^* $-algebras. It captures more information than $ K $-theory but is …

We develop a dynamical version of some of the theory surrounding the Toms–Winter
conjecture for simple separable nuclear C*-algebras and study its connections to the C …

arXiv:2311.14238v1 [math.OA] 24 Nov 2023 Page 1 arXiv:2311.14238v1 [math.OA] 24 Nov
2023 A review of the Elliott program of classification of simple amenable C ∗ -algebras Guihua …

I give an overview of recent developments in the structure and classification theory of
separable, simple, nuclear C*-algebras. I will in particular focus on the role of …