C∗-algebras of endomorphisms of groups with finite cokernel and partial actions

Abstract

In this paper, we extend the constructions of Boava and Exel to present the C^∗-algebra associated with an injective endomorphism of a group with finite cokernel as a partial group algebra and consequently as a partial crossed product. With this representation, we present another way to study such C^∗-algebras, only using tools from partial crossed products.