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Submitted
August 3, 2022
Accepted
October 3, 2023
Published
November 30, 2023
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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.

Keywords

Kumjian-Pask algebra Leavitt path algebra Homomorphism k-graph

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How to Cite
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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