Journal of the Australian Mathematical Society  Series A
Vol. 65 Part 3 (1998)
An algebraic approach to Wigner's unitaryantiunitary theorem
Lajos Molnár
Institute of Mathematics
Lajos Kossuth University
4010 Debrecen, P.O.Box 12
Hungary
email: molnarl@math.klte.hu
Abstract:
We present an operator algebraic approach to Wigner's
unitaryantiunitary 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 Wignertype result for maps on prime
C^{*}algebras.
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