In  we introduced the notion of a partial translation C*-algebra for a discrete metric space. Here we demonstrate that several important classical C*-algebras and extensions arise naturally by considering partial translation algebras associated with subspaces of trees.
Cite this article
Jacek Brodzki, Graham A. Niblo, Nick Wright, Partial translation algebras for trees. J. Noncommut. Geom. 3 (2009), no. 1, pp. 83–98DOI 10.4171/JNCG/31