Positive Forms on Nuclear *-Algebras and Their Integral Representations

DOI10.4153/CJM-1990-023-3zbMath0726.46039OpenAlexW2324141893MaRDI QIDQ3350180

Alain Bélanger, Erik G. F. Thomas

Publication date: 1990

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-1990-023-3

zbMATH Keywords

direct integral decompositionone- parameter group of *-automorphismsequicontinuous approximate identityexistence and uniqueness of integral representations of KMS functionals on nuclear *-algebrasinvariant positive forms satisfying the KMS conditionnuclear \({\mathcal L}{\mathcal F}\) *-algebrarepresentations of *-algebras by means of operators having a common dense domain in a Hilbert spaceself-derivative algebrasselfadjoint representations of a nuclear *-algebra

Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10) Axiomatic quantum field theory; operator algebras (81T05) General theory of topological algebras (46H05) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

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