On the existence of E-0-semigroups

Arveson W

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On the existence of E-0-semigroups

机译：关于E-0半群的存在

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Product systems are the classifying structures for semigroups of endomorphisms of B(H), in that two Eo-semigroups are cocycle conjugate iff their product systems are isomorphic. Thus it is important to know that every abstract product system is associated with an E-0-semigroup. This was first proved more than 15 years ago by rather indirect methods. Recently, Skeide has given a more direct proof. In this note we give yet another proof by an elementary construction.

机译：乘积系统是B（H）内同态半群的分类结构，因为两个Eo-半群是共轭共轭的，只要它们的乘积系统是同构的。因此，重要的是要知道每个抽象产品系统都与一个E-0半小组相关联。 15年前通过相当间接的方法首次证明了这一点。最近，Skeide提供了更直接的证明。在本说明中，我们通过基本构造给出了另一个证明。

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《Infinite dimensional analysis, quantum probability, and related topics》 |2006年第2期|共6页
作者
Arveson W;
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正文语种 eng
中图分类物理学;
关键词
noncommutative dynamics; semigroups of endomorphisms;

机译：非可交换动力学;同构半群;

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On the existence of E-0-semigroups

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