Normal pure states of the von Neumann algebra of bounded operators as Kahler manifold

DOI10.1088/0305-4470/16/16/020zbMath0537.46056OpenAlexW2081037494MaRDI QIDQ3322677

Plinio Lanzavecchia, Alessandro Manià, Renzo Cirelli

Publication date: 1983

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/16/16/020

zbMATH Keywords

projective spaces\(C^*\)-algebrasKähler structureset of pure states of a \(C^*\)-algebrauniform space equipped with transition probabilities and orientation

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) General theory of von Neumann algebras (46L10) Applications of selfadjoint operator algebras to physics (46L60) Local differential geometry of Hermitian and Kählerian structures (53B35) States of selfadjoint operator algebras (46L30) Miscellaneous applications of functional analysis (46N99)

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