A Problem of Powers and the Product of Spatial Product Systems

Details A Problem of Powers and the Product of Spatial Product Systems A Problem of Powers and the Product of Spatial Product Systems

2007-12-29

arxiv.org/abs/0801.0042v1

Mathematics

Operator Algebras

Contribution to the proceedings of nthe 28th Quantum Probability Confernece, Sep 2-8, 2007, in Guanajuato, Mexico

Scientific paper

In the 2002 AMS summer conference on ``Advances in Quantum Dynamics'' in Mount Holyoke Robert Powers proposed a sum operation for spatial E0-semigroups. Still during the conference Skeide showed that the Arveson system of that sum is the product of spatial Arveson systems. This product may but need not coincide with the tensor product of Arveson systems. The Powers sum of two spatial E0-semigroups is, therefore, up to cocycle conjugacy Skeide's product of spatial noises.

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