Aligned CP-Semigroups

Christopher Jankowski, Daniel Markiewicz, Robert T. Powers

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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 languageEnglish
Pages (from-to)6639-6647
Number of pages9
JournalInternational Mathematics Research Notices
Issue number15
StatePublished - 1 Jan 2015

ASJC Scopus subject areas

  • General Mathematics


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