Abstract
We explore the connection between ring homomorphisms and semigroup homomorphisms on matrix algebras over rings or $C^*$-algebras. Further, we give a connection between group homomorphisms on the general linear groups of a matrix stable $C^*$-algebra and their potentially extended homomorphisms on the whole $C^*$-algebra.
Citation
Bernhard Burgstaller. "Semigroup homomorphisms on matrix algebras." Adv. Oper. Theory 2 (3) 287 - 292, Summer 2017. https://doi.org/10.22034/aot.1702-1121
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