Transition probability preserving maps on a Grassmann space in a semifinite factor

Transition probability preserving maps on a Grassmann space in a semifinite factor
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DOI:
10.1016/j.jmaa.2020.123957
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发表时间:
2020-07
影响因子:
1.3
通讯作者:
Weichen Gu;Wenming Wu;Wei Yuan
Weichen Gu;Wenming Wu;Wei Yuan
中科院分区:
数学3区
文献类型:
--
作者:
Weichen Gu;Wenming Wu;Wei Yuan

文献摘要

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In this paper, the surjective transition probability preserving transformations on the Grassmann space of infinite projections in an infinite semifinite factor are characterized. As in the classical Wigner's theorem, all these maps are induced by *-isomorphisms or *-anti-isomorphisms of the semifinite factor.