Homomorphisms of Complex Kumjian-Pask Algebras

Rizky Rosjanuardi (1) , Endang Cahya Mulyaning Asih (2) , Al Azhary Masta (3)
(1) Mathematics Study Program, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudi 229, Bandung 40154, Indonesia,
(2) Mathematics Study Program, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudi 229, Bandung 40154, Indonesia,
(3) Mathematics Study Program, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudi 229, Bandung 40154, Indonesia

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 ϕ¯ : 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.

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Authors

Rizky Rosjanuardi
rizky@upi.edu (Primary Contact)
Endang Cahya Mulyaning Asih
Al Azhary Masta
Rosjanuardi, R., Mulyaning Asih, E. C., & Masta, A. A. (2023). Homomorphisms of Complex Kumjian-Pask Algebras. Journal of the Indonesian Mathematical Society, 29(3), 328–337. https://doi.org/10.22342/jims.29.3.1262.328-337

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