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

TL;DR

This paper extends the construction of C*-algebras associated with injective group endomorphisms with finite cokernel, representing them as partial crossed products to facilitate analysis using partial crossed product tools.

Contribution

It generalizes previous work by representing these C*-algebras as partial group algebras and partial crossed products, providing new methods for their study.

Findings

Representation of C*-algebras as partial group algebras

Representation as partial crossed products

New analytical approaches using partial crossed product tools

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.