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 saturated semigraph algebras.
Citation
Bernhard Burgstaller. "A Cuntz--Krieger uniqueness theorem for semigraph $C^*$-algebras." Banach J. Math. Anal. 6 (2) 38 - 57, 2012. https://doi.org/10.15352/bjma/1342210159
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