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 …

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 …

We introduce a new class of operator algebras--tracially complete C*-algebras--as a vehicle
for transferring ideas and results between C*-algebras and their tracial von Neumann …

Recently, it was proved by Tikuisis, White and Winter that any faithful trace on a separable,
nuclear C⁎-algebra in the UCT class is quasidiagonal. Building on their work, we generalise …

We write arbitrary separable nuclear C*-algebras as limits of inductive systems of finite-
dimensional C*-algebras with completely positive connecting maps. The characteristic …

We consider inductive systems of C*-algebras with completely positive contractive
connecting maps. We define a condition, called C*-encoding, which is sufficient for the limit …

arXiv:2006.04485v3 [math.OA] 11 Jul 2023 Page 1 arXiv:2006.04485v3 [math.OA] 11 Jul 2023
CLASSIFYING MAPS INTO UNIFORM TRACIAL SEQUENCE ALGEBRAS JORGE …

arXiv:2211.01666v1 [math.OA] 3 Nov 2022 Page 1 arXiv:2211.01666v1 [math.OA] 3 Nov
2022 A NOTE ON WHEN AMENABLE TRACES ARE QUASIDIAGONAL ROBERT NEAGU …