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$C^*$-algebras associated to coverings of $k$-graphs
A covering of k -graphs (in the sense of Pask–Quigg–Raeburn) induces an embedding of universal C^* -algebras. We show how to build a (k+1) -graph whose universal algebra encodes this embedding. More generally we show how to realise a direct limit of k -graph algebras under embeddings induced from coverings …