Abstract
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 nontrivial tensor product decompositions up to cocycle conjugacy. As a consequence, we establish the existence of uncountably many noncocycle conjugate E0-semigroups of type II0 which are prime.
Original language | English |
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Pages (from-to) | 6639-6647 |
Number of pages | 9 |
Journal | International Mathematics Research Notices |
Volume | 2015 |
Issue number | 15 |
DOIs | |
State | Published - 1 Jan 2015 |
ASJC Scopus subject areas
- General Mathematics