DOI

We study reducible projective unitary representations (Ug)g∈G of a compact group G in separable Hilbert spaces H. It is shown that there exist the projections Q and P for which V = span(UgQU*g, g ∈ G) is the operator system and PVP = (CP). As an example, a bipartite Hilbert space H = H ⊗ H is considered. In this case, the action of (Ug)g∈G has the property of transforming separable vectors to entangled.

Original languageEnglish
Pages (from-to)2366-2370
Number of pages5
JournalTurkish Journal of Mathematics
Volume43
Issue number5
DOIs
StatePublished - 2019

    Scopus subject areas

  • Mathematics(all)

    Research areas

  • Covariant resolutions of identity, Operator systems, Quantum anticliques, Reducible unitary representations of compact groups

ID: 75034330