A Cuntz--Krieger uniqueness theorem for semigraph $C^*$-algebras
Operator Algebras
2011-11-18 v1
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.
Keywords
Cite
@article{arxiv.1111.4166,
title = {A Cuntz--Krieger uniqueness theorem for semigraph $C^*$-algebras},
author = {Bernhard Burgstaller},
journal= {arXiv preprint arXiv:1111.4166},
year = {2011}
}