Groupoid Crossed Products of Continuous-Trace C*-Algebras

التفاصيل البيبلوغرافية
العنوان: Groupoid Crossed Products of Continuous-Trace C*-Algebras
المؤلفون: van Erp, Erik, Williams, Dana P.
سنة النشر: 2013
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Operator Algebras, 46L55, 46L05
الوصف: We show that if $(A,G,\alpha)$ is a groupoid dynamical system with $A$ continuous trace, then the crossed product $A\rtimes_{\alpha}G$ is Morita equivalent to the C*-algebra $C*(\underline G,\underline E)$ of a twist $\underline E$ over a groupoid $\underline G$ equivalent to $G$. This is a groupoid analogue of the well known result for the crossed product of a group acting on an elementary C*-algebra.
Comment: 20 Pages, To appear in the Journal of Operator Theory
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1309.1115
رقم الأكسشن: edsarx.1309.1115
قاعدة البيانات: arXiv