Letters in Mathematical Physics

, Volume 23, Issue 2, pp 159–167

Generalized nuclearity conditions and the split property in quantum field theory


  • Detlev Buchholz
    • II. Institut für Theoretische PhysikUniversität Hamburg
  • Jakob Yngvason
    • Department of PhysicsUniversity of Iceland

DOI: 10.1007/BF00703730

Cite this article as:
Buchholz, D. & Yngvason, J. Lett Math Phys (1991) 23: 159. doi:10.1007/BF00703730


Generalized nuclearity conditions that are applicable in arbitrary superselection sectors of a quantum field theory and to theories with a maximal temperature are discussed. They are shown to imply the (distal) split property and to impose specific restrictions on the spectral properties of modular operators associated with local algebras and vectors of compact energy support.

AMS subject classification (1991)


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© Kluwer Academic Publishers 1991