Letters in Mathematical Physics

, Volume 23, Issue 2, pp 159–167 | Cite as

Generalized nuclearity conditions and the split property in quantum field theory

  • Detlev Buchholz
  • Jakob Yngvason


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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Copyright information

© Kluwer Academic Publishers 1991

Authors and Affiliations

  • Detlev Buchholz
    • 1
  • Jakob Yngvason
    • 2
  1. 1.II. Institut für Theoretische PhysikUniversität HamburgHamburgGermany
  2. 2.Department of PhysicsUniversity of IcelandReykjavikIceland

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