- Title
- The C*-algebras of finitely aligned higher-rank graphs
- Creator
- Raeburn, Iain; Sims, Aidan; Yeend, Trent
- 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
- Publisher
- Academic Press
- Resource Type
- journal article
- Date
- 2004
- 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.
- Subject
- Cuntz–Krieger families; graph algebra; uniqueness
- Identifier
- uon:6386
- Identifier
- http://hdl.handle.net/1959.13/803447
- Identifier
- ISSN:0022-1236
- Reviewed
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