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This article is cited in 15 scientific papers (total 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.
Received: 11.01.2010
Citation:
D. Goncalves, D. Royer, “Unitary Equivalence of Representations of Graph Algebras and Branching Systems”, Funktsional. Anal. i Prilozhen., 45:2 (2011), 45–59; Funct. Anal. Appl., 45:2 (2011), 117–127
Linking options:
https://www.mathnet.ru/eng/faa3033https://doi.org/10.4213/faa3033 https://www.mathnet.ru/eng/faa/v45/i2/p45
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Abstract page: | 372 | Full-text PDF : | 172 | References: | 51 | First page: | 6 |
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