An algebraic approach to Wigner's unitaryantiunitary theorem
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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 August 1998
 arXiv:
 arXiv:math/9808033
 Bibcode:
 1998math......8033M
 Keywords:

 Operator Algebras;
 Functional Analysis;
 46C05;
 46C50;
 47D25;
 16N60
 EPrint:
 AMSLaTeX, 17 pages. To appear in J. Austral. Math. Soc