Nuclear dimension of crossed products associated to partial dynamical systems
We bound the nuclear dimension of crossed products associated to some partial actions of finite groups or Z on finite dimensional locally compact Hausdorff second countable spaces. Our results apply to globalizable partial actions, finite group partial actions, minimal partial automorphisms, and par...
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Veröffentlicht in: | Journal of functional analysis 2021-07, Vol.281 (2), p.109031, Article 109031 |
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Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | We bound the nuclear dimension of crossed products associated to some partial actions of finite groups or Z on finite dimensional locally compact Hausdorff second countable spaces. Our results apply to globalizable partial actions, finite group partial actions, minimal partial automorphisms, and partial automorphisms acting on zero-dimensional spaces, or a class of one dimensional spaces, containing 1-dimensional CW complexes. This extends work on global systems by Hirshberg and Wu. |
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ISSN: | 0022-1236 1096-0783 |
DOI: | 10.1016/j.jfa.2021.109031 |