Abstract
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We show that if p : F ��� E is a covering of directed graphs, then the Cuntz-Krieger algebra C* (F) of F can be viewed as a crossed product of C* (E) by a coaction of a homogeneous space for the fundamental group ��1(E). Combining this result with information about Cuntz-Krieger algebras gives some interesting corollaries which suggest conjectures about crossed products by coactions of homogeneous spaces of discrete groups. We then prove these conjectures.