$C^{\ast }$-algebra of the $\mathds{Z}^n$-tree

Menassie Ephrem

Let $\Lambda ={\mathbb{Z}}^n$ with lexicographic ordering. $\Lambda$ is a totally ordered group. Let $X={\Lambda }^{+}\ast {\Lambda }^{+}$. Then $X$ is a $\Lambda$-tree. Analogous to the construction of graph $C^{\ast }$-algebra…