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

Mathematics

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

13 Scopus citations

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	English (US)
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 - Jan 2 2017

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/j.aim.2016.08.022

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title = "The nuclear dimension of C⁎-algebras associated to homeomorphisms",

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.",

author = "Ilan Hirshberg and Jianchao Wu",

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AU - Wu, Jianchao

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N2 - 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.

AB - 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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UR - https://www.scopus.com/pages/publications/85026206391#tab=citedBy

U2 - 10.1016/j.aim.2016.08.022

DO - 10.1016/j.aim.2016.08.022

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SN - 0001-8708

VL - 304

SP - 56

EP - 89

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

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

Abstract

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