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The generator problem for C*-algebras with comparison

Ben Bouwen, Jorge Castillejos, Jakub Curda

math.OAarXiv:2610.13792

Abstract

We show that certain classes of unital, simple, separable C*-algebras with comparison are singly generated, including tracially AF algebras and monotracial crossed products of actions on the Cantor space. In particular, we show that simple, separable, tracially AF algebras have generator rank one.

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