Aligned CP-semigroups
Jankowski, Christopher · Markiewicz, Daniel · Powers, Robert T.
Original · EN
A CP-semigroup is aligned if its set of trivially maximal subordinates is totally ordered by subordination. We prove that aligned spatial E₀-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 E₀-semigroups of type II₀ which are prime.
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