Abstract
Given a Z-graded ring A and a subring R⊆A, it is natural to ask whether A can be realised as the Cuntz–Pimsner ring of some R-system. In this paper, we derive sufficient conditions on A and R for this to be the case. As an application, we give conditions under which the Steinberg algebra AK(G) associated to a Z-graded groupoid G=⊔n∈ZGn can be realised as the Cuntz–Pimsner ring of an AK(G0)-system.
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