On the Decomposable  C*–algebras and Kumjian-Pask algebras

Kashoul-Radjabzadeh, Matyam; Larki, Hossein

doi:10.22055/jamm.2018.25235.1566

On the Decomposable C*–algebras and Kumjian-Pask algebras

Document Type : Original Paper

Authors

Matyam Kashoul-Radjabzadeh ¹
Hossein Larki ²

¹ Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran

² Department of Mathematics, Shahid Chamran University of Ahvaz, Iran.

10.22055/jamm.2018.25235.1566

Abstract

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.

Keywords