Please use this identifier to cite or link to this item:
https://hdl.handle.net/1959.11/52459
Title: | Simplicity of C*-algebras associated to row-finite locally convex higher-rank graphs | Contributor(s): | Robertson, David (author)![]() |
Publication Date: | 2009-07 | DOI: | 10.1007/s11856-009-0070-5 | Handle Link: | https://hdl.handle.net/1959.11/52459 | Abstract: | In a previous work, the authors showed that the C*-algebra C*(Λ) of a row-finite higher-rank graph Λ with no sources is simple if and only if Λ is both cofinal and aperiodic. In this paper, we generalise this result to row-finite higher-rank graphs which are locally convex (but may contain sources). Our main tool is Farthing’s "removing sources" construction which embeds a row-finite locally convex higher-rank graph in a row-finite higher-rank graph with no sources in such a way that the associated C*-algebras are Morita equivalent. | Publication Type: | Journal Article | Source of Publication: | Israel Journal of Mathematics, 172(1), p. 171-192 | Publisher: | Magnes Press | Place of Publication: | Israel | ISSN: | 1565-8511 0021-2172 |
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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