Positive Forms on Nuclear *-Algebras and Their Integral Representations
Positive Forms on Nuclear *-Algebras and Their Integral Representations
Abstract. The main result of this paper establishes the existence and uniqueness of integral representations of KMS functionals on nuclear *- algebras. Our first result is about representations of *-algebras by means of operators having a common dense domain in a Hilbert space. We show, under certain regularity conditions, that …