Journal of the Australian Mathematical Society - Series A Vol. 65 Part 3 (1998) An algebraic approach to Wigner's unitary-antiunitary theorem Lajos Molnár Institute of Mathematics Lajos Kossuth University 4010 Debrecen, P.O.Box 12 Hungary e-mail: molnarl@math.klte.hu Abstract: We 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. PDF file size: 99K © Copyright 1998, Australian Mathematical Society