# Graded Steinberg algebras and their representations

@article{Ara2017GradedSA,
title={Graded Steinberg algebras and their representations},
author={Pere Ara and Roozbeh Hazrat and Huanhuan Li and Aidan Sims},
journal={Algebra \& Number Theory},
year={2017},
volume={12},
pages={131-172}
}
• Published 4 April 2017
• Mathematics
• Algebra & Number Theory
We study the category of left unital graded modules over the Steinberg algebra of a graded ample Hausdorff groupoid. In the first part of the paper, we show that this category is isomorphic to the category of unital left modules over the Steinberg algebra of the skew-product groupoid arising from the grading. To do this, we show that the Steinberg algebra of the skew product is graded isomorphic to a natural generalisation of the the Cohen-Montgomery smash product of the Steinberg algebra of…
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