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An algebraic approach to Wigner's unitary-antiunitary theorem
Part of
- Normed linear spaces and Banach spaces; Banach lattices
- Radicals and radical properties of rings
Lajos Molnár
Journal:

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics / Volume 65 / Issue 3 / December 1998

Published online by Cambridge University Press:

09 April 2009, pp. 354-369

Print publication:

December 1998
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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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An algebraic approach to Wigner's unitary-antiunitary theorem