• Corpus ID: 498014

# Product systems of graphs and the Toeplitz algebras of higher-rank graphs | NOVA. The University of Newcastle's Digital Repository

@inproceedings{Raeburn2003ProductSO,
title={Product systems of graphs and the Toeplitz algebras of higher-rank graphs | NOVA. The University of Newcastle's Digital Repository},
author={Iain Raeburn and Aidan Sims},
year={2003}
}
• Published 27 May 2003
• Mathematics
There has recently been much interest in the C � -algebras of directed graphs. Here we consider product systems E of directed graphs over semigroups and associated C � -algebras C � (E) and T C � (E) which generalise the higher-rank graph algebras of Kumjian-Pask and their Toeplitz analogues. We study these algebras by constructing from E a product system X(E) of Hilbert bimodules, and applying re- cent results of Fowler about the Toeplitz algebras of such systems. Fowler's hypotheses turn out…
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