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:

© Copyright 1998, Australian Mathematical Society