2007/08/01 by Robertson, David I., Aidan Sims, Sims, Aidan +1 · 1 citation
Materials Science · Mathematics · #05C99 (Secondary) #46L05 (Primary) #Advanced Operator Algebra Research #FOS: Mathematics #Operator Algebras (math.OA) #Organic and Molecular Conductors Research #Spectral Theory in Mathematical Physics #math.OA #msc:05C99 #msc:46L05
paper · pdf · doi:10.48550/arxiv.0708.0245
18 pages, 1 figure, figure drawn using Tikz/PGF. Version 2: the hypothesis "with no sources" has been removed from Theorem 3.4; it appeared there in error since the main point of the theorem is that it applies in the absence of this hypothesis (cf Theorem 3.1 of arXiv:math/0602120)
openalex publication_date 2007/08/01 · arxiv created 2010/01/12 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28
In previous work, the authors showed that the C*-algebra C*(Λ) of a row-finite higher-rank graph Λwith no sources is simple if and only if Λis 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.