Geodesic
Unitary Equivalence of Representations of Graph Algebras and Branching Systems
Funkcionalʹnyj analiz i ego priloženiâ, Tome 45 (2011) no. 2, pp. 45-59

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It is shown that, for many countable graphs, every representation of the associated graph algebra in a separable Hilbert space is unitarily equivalent to a representation obtained via branching systems.
Keywords: graph $C^*$-algebras, representation theory, unitary equivalence. 
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     author = {D. Goncalves and D. Royer},
     title = {Unitary {Equivalence} of {Representations} of {Graph} {Algebras} and {Branching} {Systems}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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D. Goncalves; D. Royer. Unitary Equivalence of Representations of Graph Algebras and Branching Systems. Funkcionalʹnyj analiz i ego priloženiâ, Tome 45 (2011) no. 2, pp. 45-59. http://geodesic.mathdoc.fr/item/FAA_2011_45_2_a2/