# Universal C*-algebras of endomorphisms of groups and partial actions

## TL;DR

This paper introduces a novel approach to analyzing C*-algebras linked to injective endomorphisms of infinite cokernel groups, utilizing partial crossed product representations inspired by Boava and Exel's work.

## Contribution

It develops a new framework for studying these C*-algebras through partial crossed products, offering insights without relying on traditional methods.

## Key findings

- Constructs a partial crossed product representation of the C*-algebra.
- Demonstrates properties of the algebra using partial action tools.
- Provides a new perspective on endomorphism-related C*-algebras.

## Abstract

We present a different way to study the C*-algebra associated with an injective endomorphism of a group G of infinite cokernel. We follow the work of Boava and Exel to construct a partial crossed product representation of that C*-algebra and show properties only using such tools.

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Source: https://tomesphere.com/paper/1706.02926