Document Type : Original Paper
Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran
Department of Mathematics, Shahid Chamran University of Ahvaz, Iran.
Let A be a row-finite k-graph and K a field. In this paper, we investigate decomposability of the Kumjian-Pask algebra KP(A) and the C* –algebra C*(A) associated to A. In particular, we give equivalent condition on A and its groupoid G_A for the decomposability. Moreover, we propose certain conditions under that KP(A) is a direct sum of indecomposable Kumjian-Pask algebras.