A Cuntz--Krieger uniqueness theorem for semigraph C^*-algebras

2011/11/17 by Bernhard Burgstaller, Burgstaller, Bernhard
Mathematics · #46L05 #FOS: Mathematics #Operator Algebras (math.OA) #math.OA #msc:46L05

paper · pdf · doi:10.48550/arxiv.1111.4166

arxiv created 2011/11/17 · arxiv updated 2011/11/18

Abstract

Higher rank semigraph algebras are introduced by mixing concepts of ultragraph algebras and higher rank graph algebras. This yields a kind of higher rank generalisation of ultragraph algebras. We prove Cuntz--Krieger uniqueness theorems for cancelling semigraph algebras and aperiodic full semigraph algebras.

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