2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77257We present an operator algebraic approach to Wigner's unitary-antiunitary theorem using some classical results from ring theory. To show how effective this approach is, we prove a generalization of this celebrated theorem for Hilbert modules over matrix algebras. We also present a Wigner-type result for maps on prime C*-algebras.AMSLaTeX, 17 pages. To appear in J. Austral. Math. SocOperator AlgebrasFunctional Analysis46C05, 46C50, 47D25, 16N60An algebraic approach to Wigner's unitary-antiunitary theoremtext