科研之友
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摘要
We show that an operator valued alpha-completely positive map on a group G is given by a unitary representation of G on a Krein space which satisfies certain conditions. Moreover, two such of unitary representations, which are unitarily equivalent, define the same alpha-completely positive map. Also we introduce a pre-order relation on the collection of alpha-completely positive maps on a group and we characterize this relation in terms of the unitary representation associated to each map.
- 出版日期2014-12
