Aligned CP-Semigroups

作者:Jankowski Christopher; Markiewicz Daniel*; Powers Robert T
来源:International Mathematics Research Notices, 2015, 2015(15): 6639-6647.
DOI:10.1093/imrn/rnu138

摘要

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 nontrivial tensor product decompositions up to cocycle conjugacy. As a consequence, we establish the existence of uncountably many noncocycle conjugate E-0-semigroups of type II0 which are prime.

  • 出版日期2015