A Cuntz--Krieger uniqueness theorem for semigraph $C^{\ast }$-algebras

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.

References in corpus (2)

• Higher rank graph C*-algebras
• C*-algebras of labelled graphs