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We use the boundary-path space of a finitely-aligned k-graph \Lambda toconstruct a compactly-aligned product system X, and we show that the graphalgebra C^*(\Lambda) is isomorphic to the Cuntz-Nica-Pimsner algebra NO(X). Inthis setting, we introduce the notion of a crossed product by a semigroup ofpartial endomorphisms and partially-defined transfer operators by defining itto be NO(X). We then compare this crossed product with other definitions in theliterature.

Realising the C*-algebra of a higher-rank graph as an Exel crossed product