Representations of C*-algebras of row-countable graphs and unitary equivalence

Ben hur Eidt; Danilo Royer

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arXiv · 1910.13304

Representations of C*-algebras of row-countable graphs and unitary equivalence

Ben hur Eidt·Danilo Royer

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Abstract

In this article we show that there are branching systems (which induce representations of the graph algebra $C^*(E)$) associated to each row-countable graph $E$. For row-countable graphs, we characterize the condition $(L)$ via branching systems. Moreover, we show that each permutative representation in Hilbert spaces operators is unitarily equivalent to one induced by a branching system, even the spaces being not separable. Furthermore, under some hypothesis on the graph, we show that each representation of the graph C*-algebra is permutative.

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BibTeX RIS

Ben hur Eidt, Danilo Royer. 2019-10-29. Representations of C*-algebras of row-countable graphs and unitary equivalence. https://arxiv.org/abs/1910.13304

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