Abstract

We use the boundarypath space of a finitelyaligned kgraph Lambda to construct a compactlyaligned product system X, and we show that the graph algebra C*(Lambda) is isomorphic to the CuntzNicaPimsner algebra NO(X). In this setting, we introduce the notion of a crossed product by a semigroup of partial endomorphisms and partiallydefined transfer operators by defining it to be NO(X). We then compare this crossed product with other definitions in the literature.