HOMOMORPHISMS OF COMPLEX KUMJIAN-PASK ALGEBRAS

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Rizky Rosjanuardi, Endang Cahya Mulyaning Asih, Al Azhary Masta

2023 Journal of the Indonesian Mathematical Society Vol. 29 Issue 3 Article Cited by 0 SDG 4SDG 16 Quartile

Abstract

Let Λ and Γ be row finite k-graphs without sources. We show that ∗-algebra homomorphisms ϕ : KPC(Λ) → KPC(Γ) extend to ∗-algebra homomorphisms ϕ̄: C∗(Λ) → C∗(Γ). We also examine necessary and sufficient conditions for algebra homomorphisms between complex Kumjian-Pask algebras KPC(Λ) and KPC(Γ) which are ∗-preserving. © 2023 The Indonesian Mathematical Society. All rights reserved.

Affiliations

Mathematics Study Program, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudi 229, Bandung, 40154, Indonesia

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