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Funktsional'nyi Analiz i ego Prilozheniya, 2011, Volume 45, Issue 2, Pages 45–59
DOI: https://doi.org/10.4213/faa3033 (Mi faa3033) 		 
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
Full-text PDF (265 kB) Citations (15)
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DOI: https://doi.org/10.4213/faa3033
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
English version:
Functional Analysis and Its Applications, 2011, Volume 45, Issue 2, Pages 117–127
DOI: https://doi.org/10.1007/s10688-011-0013-x
Bibliographic databases:
Document Type: Article
UDC: 512.552.8+517.98
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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    References:51
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