Groupoid Crossed Products of Continuous-Trace C*-Algebras

2013/09/04 by van Erp, Erik, Williams, Dana P. · 1 citation
#46L05 #46L55 #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1309.1115

Abstract

We show that if (A,G,α) is a groupoid dynamical system with A continuous trace, then the crossed product A\rtimes_αG 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.

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• Chern character for torsion-free ample groupoids

Related

• Continuous-Trace Groupoid Crossed Products
• Structure of crossed products by strictly proper actions on continuous-trace algebras
• Groupoid equivalence and the associated iterated crossed product
• Analytic Partial Crossed Products
• Proper actions of groupoids on C^*-algebras