156 citations · 864 across the 47 of their papers we have counts for
49 papers · 1 filter
Nuclearity and CPC*-systems
Kristin Courtney, Wilhelm Winter
We write arbitrary separable nuclear C*-algebras as limits of inductive systems of finite-dimensional C*-algebras with completely positive connecting maps. The characteristic featu…
The diagonal dimension of sub-C*-algebras
Kang Li, Hung-Chang Liao, Wilhelm Winter
We introduce diagonal dimension, a version of nuclear dimension for diagonal sub-C*-algebras (sometimes also referred to as diagonal C*-pairs). Our concept has good permanence prop…
Nuclear dimension of simple C*-algebras
Jorge Castillejos, Samuel Evington, Aaron Tikuisis +2
We compute the nuclear dimension of separable, simple, unital, nuclear, Z-stable C*-algebras. This makes classification accessible from Z-stability and in particular brings large c…
The Toeplitz algebra has nuclear dimension one
Laura Brake, Wilhelm Winter
We prove the title by constructing 2-colourable completely positive approximations for the Toeplitz algebra. Besides results about nuclear dimension and completely positive contrac…
Structure of nuclear C*-algebras: From quasidiagonality to classification, and back again
Wilhelm Winter
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 quasidiago…
Rokhlin dimension for flows
Ilan Hirshberg, Gabor Szabo, Wilhelm Winter +1
We introduce a notion of Rokhlin dimension for one parameter automorphism groups of C*-algebras. This generalizes Kishimoto's Rokhlin property for flows, and is analogous to the no…