2011/06/12 by Christopher Jankowski, Christopher J. Jankowski, Daniel Markiewicz +4
Computer Science · Mathematics · #46L55 #46L57 #Advanced Algebra and Logic #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #math.FA #math.OA #msc:46L55 #msc:46L57 #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.1106.2304
39 pages
arxiv created 2011/06/12 · openalex publication_date 2011/06/12 · arxiv updated 2011/06/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
An E0-semigroup is called q-pure if it is a CP-flow and its set of flow subordinates is totally ordered by subordination. The range rank of a positive boundary weight map is the dimension of the range of its dual map. Let K be a separable Hilbert space. We describe all q-pure E0-semigroups of type II0 which arise from boundary weight maps with range rank one over K. We also prove that no q-pure E0-semigroups of type II0 arise from boundary weight maps with range rank two over K. In the case when K is finite-dimensional, we provide a criterion to determine if two boundary weight maps of range rank one over K give rise to cocycle conjugate q-pure E0-semigroups.