تقرير
A Note on Twisted Crossed Products and Spectral Triples
| العنوان: | A Note on Twisted Crossed Products and Spectral Triples |
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| المؤلفون: | Antonini, P., Guido, D., Isola, T., Rubin, A. |
| المصدر: | Journal of Geometry and Physics 180 (2022) 104640 |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Operator Algebras, Mathematics - Differential Geometry, 58B34, 46LXX, 47L65 |
| الوصف: | Starting with a spectral triple on a unital $C^{*}$-algebra $A$ with an action of a discrete group $G$, if the action is uniformly bounded (in a Lipschitz sense) a spectral triple on the reduced crossed product $C^{*}$-algebra $A\rtimes_{r} G$ is constructed in [Hawkins, Skalski, White, Zacharias. Mathematica Scandinavica 2013]. The main instrument is the Kasparov external product. We note that this construction still works for twisted crossed products when the twisted action is uniformly bounded in the appropriate sense. Under suitable assumptions we discuss some basic properties of the resulting triples: summability and regularity. Noncommutative coverings with finite abelian structure group are among the most basic, still interesting, examples of twisted crossed products; we describe their main features. Comment: 33 pages, various corrections and improvements |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.geomphys.2022.104640 |
| URL الوصول: | http://arxiv.org/abs/2110.05345 |
| رقم الأكسشن: | edsarx.2110.05345 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.geomphys.2022.104640 |
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