2011/07/11 by Christopher Jankowski, Jankowski, Christopher, Daniel Markiewicz +3
Mathematics · #46L55 #46L57 #FOS: Mathematics #Operator Algebras (math.OA) #math.OA #msc:46L55 #msc:46L57
paper · pdf · doi:10.48550/arxiv.1107.2053
5 pages
arxiv created 2011/07/11 · arxiv updated 2011/07/12
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.