, Volume 23, Issue 2, pp 159-167

Generalized nuclearity conditions and the split property in quantum field theory

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Abstract

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.