Please use this identifier to cite or link to this item:
https://hdl.handle.net/1959.11/52461
Title: | Simplicity of C*-algebras associated to higher-rank graphs | Contributor(s): | Robertson, David (author)![]() |
Publication Date: | 2007-04 | Early Online Version: | 2007-04-02 | DOI: | 10.1112/blms/bdm006 | Handle Link: | https://hdl.handle.net/1959.11/52461 | Abstract: | We prove that if Λ is a row-finite k-graph with no sources, then the associated C*-algebra is simple if and only if Λ is cofinal and satisfies Kumjian and Pask's aperiodicity condition, known as Condition (A). We prove that the aperiodicity condition is equivalent to a suitably modified version of Robertson and Steger's original nonperiodicity condition (H3), which in particular involves only finite paths. We also characterise both cofinality and aperiodicity of Λ in terms of ideals in C*(Λ). | Publication Type: | Journal Article | Source of Publication: | Bulletin of the London Mathematical Society, 39(2), p. 337-344 | Publisher: | Wiley-Blackwell Publishing Ltd | Place of Publication: | United Kingdom | ISSN: | 1469-2120 0024-6093 |
Fields of Research (FoR) 2020: | 490408 Operator algebras and functional analysis | Socio-Economic Objective (SEO) 2020: | 280118 Expanding knowledge in the mathematical sciences | Peer Reviewed: | Yes | HERDC Category Description: | C1 Refereed Article in a Scholarly Journal |
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Appears in Collections: | Journal Article School of Science and Technology |
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