Nuclear dimension of simple C*-algebras

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 classes of C*-algebras associated to free and minimal actions of amenable groups on finite dimensional spaces within the...

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Detalles Bibliográficos
Main Authors: Castillejos, J, Evington, S, Tikuisis, A, White, S, Winter, W
Formato: Journal article
Idioma:English
Publicado: Springer 2020
Descripción
Summary: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 classes of C*-algebras associated to free and minimal actions of amenable groups on finite dimensional spaces within the scope of the Elliott classification programme.