Unitary equivalence of representations of graph algebras and branching systems

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Royer, Danilo
Goncalves, Daniel
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Abstract
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In this paper we show that, for a class of 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
Mathematics - Operator Algebras, Mathematics - Dynamical Systems, 47L30
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