The nuclear dimension of C*-algebras associated to homeomorphisms
Operator Algebras
2022-02-22 v2
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.
Keywords
Cite
@article{arxiv.1509.01508,
title = {The nuclear dimension of C*-algebras associated to homeomorphisms},
author = {Ilan Hirshberg and Jianchao Wu},
journal= {arXiv preprint arXiv:1509.01508},
year = {2022}
}
Comments
With an appendix by Gabor Szabo. 28 pages. Minor typos corrected. To appear, Adv. Math. arXiv admin note: text overlap with arXiv:1308.5418 by other authors