The C*-algebras of finitely aligned higher-rank graphs | NOVA. The University of Newcastle's Digital Repository

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/803447

Title: The C*-algebras of finitely aligned higher-rank graphs
Author/Creator: Raeburn, Iain; Sims, Aidan; Yeend, Trent
Institution: The University of Newcastle. Faculty of Science & Information Technology, School of Mathematical and Physical Sciences
Description: We generalise the theory of Cuntz–Krieger families andgraph algebras to the class of finitely aligned k-graphs. This class contains in particular all row-finite k-graphs. The Cuntz–Krieger relations for non-row-finite k-graphs look significantly different from the usual ones, and this substantially complicates the analysis of the graph algebra. We prove a gauge invariant uniqueness theorem anda Cuntz–Krieger uniqueness theorem for the C*-algebras of finitely aligned k-graphs.
Relation: Journal of Functional Analysis Vol. 213, Issue 1, p. 206-240
Publisher Link: http://dx.doi.org/10.1016/j.jfa.2003.10.014
Date: 2004
Publisher: Academic Press
Keyword(s): Cuntz–Krieger families; graph algebra; uniqueness
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/803447
Identifier: ISSN:0022-1236

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