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arXiv · 1509.01508

The nuclear dimension of C*-algebras associated to homeomorphisms

Ilan Hirshberg·Jianchao Wu
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Abstract

We show that if X is a finite dimensional locally compact Hausdorff space, then the crossed product of C_0(X) by any automorphism has finite nuclear dimension. This generalizes previous results, in which the automorphism was required to be free. As an application, we show that group C*-algebras of certain non-nilpotent groups have finite nuclear dimension.

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Ilan Hirshberg, Jianchao Wu. 2015-09-04. The nuclear dimension of C*-algebras associated to homeomorphisms. https://doi.org/10.1016/j.aim.2016.08.022

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