Dye's theorem for tripotents in von Neumann algebras and JBW\(^*\)-triples

DOI10.1007/S43037-021-00134-WzbMath1481.46062arXiv2101.08302OpenAlexW3163016664MaRDI QIDQ2029187

Jan Hamhalter

Publication date: 3 June 2021

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.08302

zbMATH Keywords

von Neumann algebraJBW\(^*\)-tripleJBW\(^*\)-algebralocal triple Jordan homomorphismposet of tripotentsquantum logic morphismstriple bounded set

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Jordan structures on Banach spaces and algebras (17C65) Nonassociative selfadjoint operator algebras (46L70)

Related Items (2)

Preservers of triple transition pseudo-probabilities in connection with orthogonality preservers and surjective isometries ⋮ Star order and partial isometries in \(C^\ast\)-algebras

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