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 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.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2015
- DOI:
- 10.48550/arXiv.1509.01508
- arXiv:
- arXiv:1509.01508
- Bibcode:
- 2015arXiv150901508H
- Keywords:
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- Mathematics - Operator Algebras
- E-Print:
- 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