### 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 Hubert modules over matrix algebras. We also present a Wigner-type result for maps on prime C*-algebras.

Original language | English |
---|---|

Pages (from-to) | 354-369 |

Number of pages | 16 |

Journal | Journal of the Australian Mathematical Society |

Volume | 65 |

Issue number | 3 |

Publication status | Published - Dec 1998 |

### Fingerprint

### Keywords

- C*-algebra
- Hilbert module
- Jordan homomorphism
- Prime ring
- Wigner's unitary-antiunitary theorem

### ASJC Scopus subject areas

- Mathematics(all)
- Statistics and Probability

### Cite this

**An algebraic approach to Wigner's unitary-antiunitary theorem.** / Molnár, L.

Research output: Contribution to journal › Article

*Journal of the Australian Mathematical Society*, vol. 65, no. 3, pp. 354-369.

}

TY - JOUR

T1 - An algebraic approach to Wigner's unitary-antiunitary theorem

AU - Molnár, L.

PY - 1998/12

Y1 - 1998/12

N2 - 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 Hubert modules over matrix algebras. We also present a Wigner-type result for maps on prime C*-algebras.

AB - 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 Hubert modules over matrix algebras. We also present a Wigner-type result for maps on prime C*-algebras.

KW - C-algebra

KW - Hilbert module

KW - Jordan homomorphism

KW - Prime ring

KW - Wigner's unitary-antiunitary theorem

UR - http://www.scopus.com/inward/record.url?scp=0040041672&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0040041672&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0040041672

VL - 65

SP - 354

EP - 369

JO - Journal of the Australian Mathematical Society

JF - Journal of the Australian Mathematical Society

SN - 1446-7887

IS - 3

ER -