The structure of a the C*-algebra of a locally injective surjection

TL;DR

This paper characterizes the C*-algebras that are simple quotients of those arising from locally injective surjections on finite-dimensional compact metric spaces.

Contribution

It provides a description of the structure of C*-algebras obtained as simple quotients of those associated with locally injective surjections.

Findings

Identifies conditions for simplicity of quotient C*-algebras.

Describes the structure of these simple quotient algebras.

Connects topological properties of the surjection to algebraic properties.

Abstract

We obtain a description of the C*-algebras which can occur as a simple quotient of the C*-algebra of a locally injective surjection on a compact metric space of finite covering dimension.