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

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

2011-11-17

arxiv.org/abs/1111.4166v1

Mathematics

Operator Algebras

Scientific paper

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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