English

An algebraic approach to Wigner's unitary-antiunitary theorem

Operator Algebras 2007-05-23 v1 Functional Analysis

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.

Keywords

Cite

@article{arxiv.math/9808033,
  title  = {An algebraic approach to Wigner's unitary-antiunitary theorem},
  author = {Lajos Molnar},
  journal= {arXiv preprint arXiv:math/9808033},
  year   = {2007}
}

Comments

AMSLaTeX, 17 pages. To appear in J. Austral. Math. Soc