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- W1613329893 abstract "We develop notions of a representation of a topological graph E and of a covariant representation of a topological graph E which do not require the machinery of C*-correspondences and Cuntz-Pimsner algebras. We show that the C*-algebra generated by a universal representation of E coincides with the Toeplitz algebra of Katsura's topological-graph bimodule, and that the C*-algebra generated by a universal covariant representation of E coincides with Katsura's topological graph C*-algebra. We exhibit our results by constructing the isomorphism between the C*-algebra of a row-finite directed graph E with no sources and the C*-algebra of the topological graph arising from the shift map acting on infinite path space E^infty." @default.
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- W1613329893 date "2014-01-01" @default.
- W1613329893 modified "2023-10-03" @default.
- W1613329893 title "An elementary approach to C*-algebras associated to topological graphs" @default.
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