An algebraic approach to Wigner's unitary-antiunitary theorem

Details An algebraic approach to Wigner's unitary-antiunitary theorem An algebraic approach to Wigner's unitary-antiunitary theorem

1998-08-06

arxiv.org/abs/math/9808033v1

Mathematics

Operator Algebras

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

Scientific paper

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.

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