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arXiv · 1111.4166

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

Bernhard Burgstaller
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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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Bernhard Burgstaller. 2011-11-17. A Cuntz--Krieger uniqueness theorem for semigraph $C^*$-algebras. https://arxiv.org/abs/1111.4166

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