The nuclear dimension of C⁎-algebras associated to homeomorphisms

Ilan Hirshberg; Jianchao Wu

doi:10.1016/j.aim.2016.08.022

The nuclear dimension of C^⁎-algebras associated to homeomorphisms

Ilan Hirshberg, Jianchao Wu

Department of Mathematics

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

Abstract

We show that if X is a finite dimensional locally compact Hausdorff space, then the crossed product of C₀(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.

Original language	American English
Pages (from-to)	56-89
Number of pages	34
Journal	Advances in Mathematics
Volume	304
DOIs	https://doi.org/10.1016/j.aim.2016.08.022
State	Published - 2 Jan 2017

Keywords

C-algebras
C-dynamics
Nuclear dimension

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1016/j.aim.2016.08.022

Cite this

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abstract = "We show that if X is a finite dimensional locally compact Hausdorff space, then the crossed product of C0(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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