Nuclear dimension of simple C*-algebras

Published 17 Jan 2019 in math.OA | (1901.05853v3)

Abstract: 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.

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