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 …

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 …

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 …

Nuclear dimension of simple stably projectionless C*-algebras Page 1 ANALYSIS & PDE msp
Volume 13 No. 7 2020 JORGE CASTILLEJOS AND SAMUEL EVINGTON NUCLEAR …

Let A be a separable, unital, simple, Z-stable, nuclear C⁎-algebra, and let α: G→ Aut (A) be
an action of a discrete, countable, amenable group. Suppose that the orbits of the action of G …

This book is shorter than In Search of Lost Time, is easier to read than Principia
Mathematica, and has more mathematical content than War and Peace. 1, 2 It provides an …

We further examine the concept of uniform property for-algebras introduced in our joint work
with Winter. In addition to obtaining characterisations in the spirit of Dixmier's work on central …