Kaitan Antara Homomorfisma Pada Graf dan Homomorfisma Pada Aljabar Graf

Abstract

Let  E and F be directed graphs and their associated C^*-algebras respectively,  C^*(E) and C^*(F). We call this C^*-algebras as graph algebras. Graph homomorphism is a map  of E to F such that preserves the structure of graph. Moreover for graph algebras C^*(E)  and C^*(F), their homomorphism is a map  of  C^*(E) to C^*(F) such that preserves the structure of graph algebras  Rosjanuardi and Albania (2012) said that an automorphism of E induces an automorphism of graph algebras C^*(E). Furthermore, from this relation we get an action  induces an action