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c*-algebras 1higher-rank graphs 1ideal structure 1nuclear dimension 1pure infiniteness 1topological dimension zero 1

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math.KT2026

Higher-rank graphs and the graded -theory of Kumjian-Pask algebras

Roozbeh Hazrat, Promit Mukherjee, David Pask +1

This paper lays out the foundations of graded -theory for Leavitt algebras associated with higher-rank graphs, also known as Kumjian-Pask algebras, establishing it as a potentia…