NEW EXAMPLES OF CONTINUOUS SPATIAL SEMIGROUPS OF *-ENDOMORPHISMS OF ${\mathfrak B} ({\mathfrak h})$

NEW EXAMPLES OF CONTINUOUS SPATIAL SEMIGROUPS OF *-ENDOMORPHISMS OF ${\mathfrak B} ({\mathfrak h})$
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${mathfrak B} ({mathfrak h})$ *-内态连续空间半群的新例子

DOI:
10.1142/s0129167x99000094
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发表时间:
1999
影响因子:
0.6
通讯作者:
R. Powers
R. Powers
中科院分区:
数学4区
文献类型:
--
作者:
R. Powers

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本文研究了空间半群的 *-自同态的连续空间半群的结构。这些半群的 *-自同态存在一个强连续的单参数交织等距半群。构造了此类半群的新例子。与前面所有的例子不同,这些半群不是用CAR或CCR代数构造的半群的上循环共轭。
This paper concerns the structure of continuous spatial semigroups of *-endomorphisms of . These are semigroups of *-endomorphisms of for which there exist a strongly continuous one parameter semigroup of intertwining isometries. New examples of such semigroups are constructed. Unlike all previous examples these semigroups are not cocycle conjugate to semigroups constructed using the CAR or CCR algebras.