Every sum system is divisible

Details Every sum system is divisible Every sum system is divisible

2007-08-12

arxiv.org/abs/0708.1591v1

Mathematics

Operator Algebras

22 pages

Scientific paper

We show that every sum system is divisible. Combined with B. V. R. Bhat and
R. Srinivasan's result, this shows that every product system arising from a sum
system (and every generalized CCR flow) is either of type I or type III. A
necessarily and sufficient condition for such a product system to be of type I
is obtained.

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