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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive
Funktsional. Anal. i Prilozhen., 2011 Volume 45, Issue 2, Pages 45–59 (Mi faa3033)
This article is cited in 15 papers

Unitary Equivalence of Representations of Graph Algebras and Branching Systems

D. Goncalves, D. Royer

Departamento de Matematica, Universidade Federal de Santa Catarina, Brazil

Abstract: 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.

UDC: 512.552.8+517.98

Received: 11.01.2010

DOI: 10.4213/faa3033


 English version: Functional Analysis and Its Applications, 2011, 45:2, 117–127

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© Steklov Math. Inst. of RAS, 2024