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

Published 17 Nov 2011 in math.OA | (1111.4166v1)

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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