Aligned CP-semigroups

Details Aligned CP-semigroups Aligned CP-semigroups

2011-07-11

arxiv.org/abs/1107.2053v1

Mathematics

Operator Algebras

5 pages

Scientific paper

A CP-semigroup is aligned if its set of trivially maximal subordinates is
totally ordered by subordination. We prove that aligned spatial E_0-semigroups
are prime: they have no non-trivial tensor product decompositions up to cocycle
conjugacy. As a consequence, we establish the existence of uncountably many
non-cocycle conjugate E_0-semigroups of type II_0 which are prime.

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