 

Menassie Ephrem
C*algebra of the Z^{n}tree view print


Published: 
February 5, 2011 
Keywords: 
Directed graph, CuntzKrieger algebra, Graph C*algebra 
Subject: 
46L05, 46L35, 46L55 


Abstract
Let Λ = Z^{n} with lexicographic ordering. Λ is
a totally ordered group. Let
X = Λ^{+}
* Λ^{+}.
Then X is a Λtree. Analogous to the
construction of graph C*algebras, we form a groupoid whose unit
space is the space of ends of the tree. The C*algebra of the
Λtree is defined as the C*algebra of this groupoid. We prove some properties of this C*algebra.


Author information
Department of Mathematics and Statistics, Coastal Carolina University, Conway, SC 295286054
menassie@coastal.edu

