We aim to shed light on the description of topological charges and particle exchange statistics in the framework of algebraic quantum mechanics. The notions of observable, state and pure state, superselection sector, and locality are defined in terms of C*-algebras and form the basis of our discussion. We show how physically relevant superselection sectors may be obtained from localized, transportable endomorphisms of a quasi-local algebra. These endomorphisms act as charge creation operators and are endowed with a tensor product from which particle exchange statistics may be analyzed. We briefly discuss Kitaev’s toric code as an example of these ideas.